@string{aachen = {RWTH, Aachen}}
@string{aams = {Abstracts Amer.\ Math.\ Soc.}}
@string{abhhamburg = {Abh.\ Math.\ Sem.\ Univ.\ Hamburg}}
@string{abstractalgebra = {Computational Problems in Abstract Algebra}}
@string{academic = {Academic Press}}
@string{ACM = {Association for Computing Machinery}}
@string{actamath = {Acta Math.}}
@string{addison = {Addison-Wesley}}
@string{ams = {Amer.\ Math.\ Soc.}}
@string{ANU = {Australian National University}}
@string{anu = {Australian National University}}
@string{archiv = {Arch.\ Math.\ $($Basel$)$}}
@string{bams = {Bull.\ Amer.\ Math.\ Soc.\ (N.S.)}}
@string{berlin = {Berlin, Heidelberg, New York}}
@string{blms = {Bull.\ London Math.\ Soc.}}
@string{boz = {Bull.\ Austral.\ Math.\ Soc.}}
@string{cgt = {Computational Group Theory}}
@string{cup = {Cambridge University Press}}
@string{commalg = {Comm.\ Algebra}},
@string{cr = {C.~R.\ Acad.\ Sci.\ Paris S{\'e}r.\ I Math.}}
9string{DiscMath = {Discrete Math.}}
@string{discmath = {Discrete Math.}}
@string{duke = {Duke Math.\ J.}}
@string{durham = {(Durham, 1982)}}
@string{edinburgh = {Proc.\ Edinburgh Math.\ Soc.}}
@string{edinburgh2 = {Proc.\ Edinburgh Math.\ Soc.\ $(2)$}}
@string{ergeb = {Ergeb.\ Math.\ Grenzgeb.}}
@string{ergeb2 = {Ergeb.\ Math.\ Grenzgeb.\ $(2)$}}
@string{ergeb3 = {Ergeb.\ Math.\ Grenzgeb.\ $(3)$}}
@string{gazette = {Austral.\ Math.\ Soc.\ Gaz.}}
@string{glasgow = {Glasgow Math.\ J.}}
@string{grund = {Grundlehren Math.\ Wiss.}}
@string{gtm = {Graduate Texts in Math.}}
@string{illinois = {Illinois J.\ Math.}}
@string{ijac = {Internat.\ J.\ Algebra Comput.}}
@string{invent = {Invent.\ Math.}}
@string{israel = {Israel J.\ Math.}}
@string{jalg = {J.\ Algebra}}
@string{JAlgor = {J.\ Algorithms}}
@string{jalgor = {J.\ Algorithms}}
@string{jamsj = {J.\ Amer.\ Math.\ Soc.}}
@string{jlms = {J.\ London Math.\ Soc.}}
@string{jlms2 = {J.\ London Math.\ Soc.\ $(2)$}}
@string{jnumth = {J.\ Number Theory}},
@string{joz = {J.\ Austral.\ Math.\ Soc.\ Ser.\ A}}
@string{jpaa = {J.\ Pure Appl.\ Algebra}}
@string{jsc = {J.\ Symbolic Comput.}}
@string{Kiel = {University of Kiel}},
@string{laa = {Linear Algebra Appl.}}
@string{lncs = {Lecture Notes in Comput.\ Sci.}}
@string{lnlms = {London Math.\ Soc.\ Lecture Note Ser.}}
@string{lnm = {Lecture Notes in Math.}}
@string{lomi = {Zap.\ Nauchn.\ Sem.\ Leningrad.\ Otdel.\ Mat.\ Inst.\ Steklov.\ (LOMI)}}
@string{london = {London, New York}}
@string{mams = {Mem.\ Amer.\ Math.\ Soc.}}
@string{mathann = {Math.\ Ann.}}
@string{mathcomp = {Math.\ Comp.}}
@string{mathgaz = {Math.\ Gaz.}}
@string{mathmag = {Math.\ Mag.}}
@string{mathmonthly = {Amer.\ Math.\ Monthly}}
@string{melbourne = {University of Melbourne}}
@string{michigan = {Michigan Math.\ J.}}
@string{MIT = {Massachusetts Institute of Technology}}
@string{mlms = {London Math.\ Soc.\ Monographs}}
@string{mlmsns = {London Math.\ Soc.\ Monographs,\ (N.\ S.)}}
@string{mz = {Math.~Z.}}
@string{NAMS = {Notices Amer.\ Math.\ Soc.}}
@string{nams = {Notices Amer.\ Math.\ Soc.}}
@string{NumMath = {Numer.\ Math.}}
@string{nummath = {Numer.\ Math.}}
@string{oxford67 = {(Oxford, 1967)}}
@string{oxfordmm = {Oxford Math.\ Monographs}}
@string{pacific = {Pacific J.\ Math.}}
@string{pams = {Proc.\ Amer.\ Math.\ Soc.}}
@string{pergamon = {Pergamon Press}}
@string{plms = {Proc.\ London Math.\ Soc.}}
@string{plms1 = {Proc.\ London Math.\ Soc.\ $(1)$}}
@string{plms2 = {Proc.\ London Math.\ Soc.\ $(2)$}}
@string{plms3 = {Proc.\ London Math.\ Soc.\ $(3)$}}
@string{prenticehall = {Prentice-Hall Internat.\ Ser.\ Comput.\ Sci.}}
@string{prslondon = {Proc.\ Roy.\ Soc.\ London}}
@string{qjm = {Quart.\ J.\ Math.\ Oxford Ser.}}
@string{qjm2 = {Quart.\ J.\ Math.\ Oxford Ser.\ $(2)$}}
@string{reine = {J.\ Reine Angew.\ Math.}}
@string{springer = {Springer-Verlag}}
@string{StAndrews = {University of St Andrews}}
@string{standrews = {University of St Andrews}}
@string{stlms = {London Math.\ Soc.\ Stud.\ Texts}}
@string{sydney = {University of Sydney}}
@string{SydneyCS = {Basser Department of Computer Science}}
@string{sydneycs = {Basser Department of Computer Science}}
@string{SydneyPM = {Department of Pure Mathematics}}
@string{sydneypm = {Department of Pure Mathematics}}
@string{sydneyschool = {School of Mathematics and Statistics}}
@string{tams = {Trans.\ Amer.\ Math.\ Soc.}}
@string{unsw = {University of New South Wales}}
@string{uwa = {University of Western Australia}}
@string{vlee = {M.R.\ Vaughan-Lee}}
@string{vlum = {Vestnik Leningrad.\ Univ.\ Mat.\ Mekh.\ Astronom.}}
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address = {New York}
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publisher = "Akad. Nauk Ukrain. SSR, Inst. Kibernet., Kiev",
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reviews = "MR 82f:20002 (from the text)",
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booktitle = "Computations in algebra and combinatorial analysis (Russian)",
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publisher = "Akad. Nauk Ukrain. SSR, Inst. Kibernet., Kiev",
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author = {Wieb Bosma and John Cannon and Catherine Playoust},
title = {The {\sc Magma} Algebra System I: The User Language},
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year = 1997,
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title = {Handbook of {\sc Magma} functions},
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address = sydney,
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author = "Warren Brisley and I.D.~Macdonald",
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AUTHOR = {Peter A. Brooksbank},
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AUTHOR = {Peter A. Brooksbank},
TITLE = {A constructive recognition algorithm for the matrix group
{$\Omega(d,q)$}},
BOOKTITLE = {Groups and computation, III (Columbus, OH, 1999)},
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AUTHOR = {John N. Bray},
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AUTHOR = {{\'A}kos Seress},
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ADDRESS = {Cambridge},
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author = "Claus Brott",
title = "Ein {Programm} zur {Bestimmung} absolut irreduzibler
{Charaktere} und {Darstellungen} endlicher {Gruppen}",
year = 1966,
address = Kiel,
keywords = "ordinary representations; characters;; program description",
note = "136 pages",
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author = "C. Brott and J. Neub{\"u}ser",
title = "A programme for the calculation of characters and representations of finite groups",
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year = 1970,
address = {Oxford, London, Edinburgh},
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Zbl 188, 67 (Autorreferat,
CR 11 # 20, 119 (G. Lallament)",
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author = "Harold Brown",
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algorithm description",
reviews = "MR 40 # 244 (author's summary),
Zbl 184, 49 (G. Winkler)",
}
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author = {Kenneth S.\ Brown},
title = {Cohomology of Groups},
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year = 1982,
address = {New York, Heidelberg, Berlin}
}
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author = {Harold Brown and Rolf {B{\"u}low} and Joachim {Neub{\"u}ser} and Hans Wondratschek and Hans Zassenhaus},
title = {Crystallographic groups of four-dimensional space},
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address = {New York, Chicester, Brisbane, Toronto}
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author = "Harold Brown and Larry Hjelmeland and Larry Masinter",
title = "Contructive Graph Labeling Using Double Cosets",
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author = "A.M. Brunner",
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pages = "11--14",
year = 1974,
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reviews = "MR 50 # 2342 (A. Peluso),
Zbl 282.20025 (Autorreferat)",
}
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author = {R.M.\ Bryant and M.F.\ Newman},
title = {Some finitely based varieties of groups},
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volume = 28,
pages = {237-252},
year = 1974
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author = {J.\ Buckley},
title = {Automorphism groups of isoclinic $p$-groups},
journal = jlms,
volume = 12,
pages = {37-44},
year = 1975
}
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author = "Rolf B{\"u}low",
title = "{\"U}ber {Dadegruppen} in {\rm GL(5,2)}",
year = 1973,
address = Aachen,
keywords = "crystallographic groups;;; classification of groups",
note = "65 pages",
}
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author = "R. B{\"u}low and J. Neub{\"u}ser",
title = "On some applications of group-theoretical programms to the
derivation of the crystal classes of {$R_4$}",
pages = "131--135",
booktitle = abstractalgebra,
year = 1970,
address = {Oxford, London, Edinburgh},
organization = oxford67,
publisher = pergamon,
keywords = "crystallographic groups;;
application, classification of groups",
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Zbl 202, 27 (Autorreferat),
CR 11 # 19, 345 (R.N. Goss)",
}
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author = {M.V.D.\ Burmester and Th.G.\ Exarchakos},
title = {The function $g(h)$ for which $|A(G)|_p \geq p^h$
whenever $|G| \geq p^{g(h)}$, $G$ a finite $p$-group},
journal = {Bull.\ Soc.\ Math.\ Gr\`ece},
volume = 29,
pages = {27-44},
year = 1988
}
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author = {W.\ Burnside},
title = {On an unsettled question in the theory of discontinuous groups},
journal = {Quart.\ J.\ Pure Appl.\ Math},
volume = {33},
pages = {230--238},
year = 1902
}
@book{Burnside11,
author = {W.\ Burnside},
title = {Theory of Groups of Finite Order},
publisher = {Cambridge University Press. Reprinted by Dover 1955},
year = 1911,
address = {New York},
edition = {2nd}
}
@book{Burnside97,
author = {W.\ Burnside},
title = {Theory of groups of finite order},
publisher = {Cambridge University Press},
year = 1897
}
@inproceedings{Butler76,
author = {Gregory Butler},
title = {The {Schreier} Algorithm for Matrix Groups},
booktitle = {{\rm SYMSAC~'76,} Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
year = 1976,
pages = "167--170",
address = {New York},
keywords = "matrix groups; stabilizer chain; Schreier-Sims",
abstract = "SIGSAM Bull. 10 no. 3 (1976), 8",
organization = {(New York, 1976)},
publisher = {Association for Computing Machinery}
}
@phdthesis{Butler79,
author = "Gregory Butler",
title = "Computational Approaches to Certain Problems in the Theory
of Finite Groups",
year = 1979,
address = sydney,
keywords = "permutation groups, matrix groups;
stabilizer chain, centralizer",
reviews = "Abstract: Bull. Austral. Math. Soc. 22 (1980) 467--468,
Zbl 433.20012 (title only)",
note = "xii + 304",
}
@inproceedings{Butler81a,
author = "Gregory Butler",
title = "Double Cosets and Searching Small Groups",
booktitle = {Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
organization = {(Utah, 1981)},
pages = "182--187",
year = 1981,
keywords = "groups; double cosets",
reviews = "Zbl 486.20002 (J. Neub{\"u}ser)",
}
@article{Butler81b,
author = "Gregory Butler",
title = "The Maximal Subgroups of the Sporadic Simple Group of {Held}",
journal = JAlgor,
volume = 69,
pages = "67--81",
year = 1981,
reviews = "MR 82e:20022 (Stephen D. Smith),
Zbl 457.20024 (U. Schoenwaelder",
}
@inproceedings{Butler82a,
author = "G.\ Butler",
title = "The Maximal Subgroups of the {Chevalley} Group {$G_2(4)$}",
volume = 71,
booktitle = {Groups -- St Andrews $1981$},
year = 1982,
address = {Cambridge},
series = lnlms,
editor = {C.M.\ Campbell and E.F.\ Robertson},
publisher = {Cambridge University Press},
pages = "186--200",
keywords = "groups;;; application",
abstract = "Abstract: Amer. Math. Soc. 1 (1980), 369 (Preliminary report)",
reviews = "MR 84e:20014 (G.M. Pal'chik),
Zbl 492.20016 (G. Pic)",
}
@article{Butler82b,
author = "Gregory Butler",
title = "Computing in Permutation and Matrix Groups {II}:
Backtrack Algorithm",
journal = mathcomp,
volume = 39,
pages = "671--680",
year = 1982,
keywords = "permutation groups, matrix groups;; backtrack through
stabilizer chain",
reviews = "MR 83k:20004b (J.D. Dixon),
Zbl 552.20003 (see Zbl 552.20004 for a review of this article)",
}
@article{Butler83,
author = "Gregory Butler",
title = "Computing Normalizers in Permutation Groups",
journal = JAlgor,
volume = 4,
pages = "163--175",
year = 1983,
keywords = "permutation groups; normalizer",
reviews = "MR 84j:20003 (J.D. Dixon),
Zbl 552.20004 (J. Neub{\"u}ser)",
}
@inproceedings{Butler84,
author = "Gregory Butler",
title = "On Computing Double Coset Representatives in
Permutation Groups",
booktitle = cgt,
year = 1984,
address = {London, New York, San Francisco},
organization = durham,
publisher = academic,
pages = "283--290",
keywords = "permutation groups; double cosets",
reviews = "MR 85k:20002 (Marston D.E. Conder),
Zbl 577.20002 (E. Komissartschik)",
}
@article{Butler85a,
author = "Gregory Butler",
title = "Effective Computation with Group Homomorphisms",
journal = jsc,
volume = 1,
pages = "143--157",
year = 1985,
keywords = "permutation groups; homomorphisms",
reviews = "MR 87b:68057 (Summary),
(Zbl 572.20001 (J. Neub{\"u}ser)",
}
@article{Butler85b,
author = "Gregory Butler",
title = "An Improvement to the Centralizer Algorithm for Permutation
Groups",
journal = "SIGSAM Bull.",
volume = 19,
number = 2,
pages = "14--18",
year = 1985,
keywords = "permutation group, centralizer",
reviews = "Zbl 591.20001 (E. Komissartschik)",
}
@inproceedings{Butler86a,
author = "Greg Butler",
year = 1986,
title = "Divide-and-Conquer in Computational Group Theory",
organization = {(Waterloo, 1986)},
booktitle = {{\rm SYMSAC '86,} (Proc. Sympos. on Symbolic and Algebraic Computation)},
pages = "59--64",
keywords = "groups;;; survey",
}
@article{Butler86b,
author = "Gregory Butler",
title = "Data Structures and Algorithms for Cyclically Extended
{Schreier} Vectors",
journal = "Congr.\ Numer.",
volume = 52,
pages = "63--78",
year = 1986,
keywords = "permutation groups; stabilizer chain",
reviews = "MR 88m:20001 (Reinhard Laue),
Zbl 627.20001 (J. Neub{\"u}ser)",
note = "Proc. 15th Manitoba Conference on Numerical Math. and Comp.,
Winnipeg, Manitoba, 1985",
}
@inproceedings{Butler88a,
author = "Gregory Butler",
title = "Permutation Groups and $p$-Groups",
booktitle = {Computers in Algebra},
year = 1988,
address = {New York},
organization = {(Chicago, 1985)},
publisher = {Marcel Dekker},
editor = {M.C.\ Tangora},
pages = "1--16",
keywords = "permutation groups; sylow groups; polycyclic presentation",
reviews = "Zbl 693.20004 (J. Weinstein)",
}
@article{Butler88b,
author = "Gregory Butler",
title = "A Proof of {Holt's} Algorithm",
journal = JSC,
volume = 5,
pages = "275--283",
year = 1988,
keywords = "permutation groups, p-groups; p-central series",
reviews = "MR 89k:20002 (Jennifer Whitehead)",
}
@techreport{Butler88c,
author = "G.\ Butler",
title = "Computational Group Theory",
type = "Technical report",
number = 332,
year = 1988,
institution = SydneyCS,
address = sydney,
keywords = "groups;;; survey",
note = "21 pages",
}
@book{Butler91,
title = {Fundamental Algorithms for Permutation Groups},
author = {G.\ Butler},
series = lncs,
volume = 559,
publisher = springer,
address = berlin,
year = 1991
}
@article{Butler92,
author = "G.\ Butler",
title = "An Analysis of {Atkinson's} Algorithm",
journal = "SIGSAM Bull.",
volume = 26,
year = 1992,
pages = "1--9",
keywords = "permutation groups; blocks",
}
@article{ButlerCannon82,
author = "Gregory Butler and John J. Cannon",
title = "Computing in Permutation and Matrix Groups {I}: Normal Closure,
Commutator Subgroups, Series",
journal = mathcomp,
volume = 39,
pages = "663--670",
year = 1982,
keywords = "permutation groups, matrix groups;
base and strong generating set of, normal closure, series",
reviews = "MR 83k:20004a (J.D. Dixon),
Zbl 552.20004",
}
@article{ButlerCannon89a,
author = "Gregory Butler and John J. Cannon",
title = "Computing in Permutation and Matrix Groups {III}:
{Sylow} Subgroups",
journal = JSC,
volume = 8,
pages = "241--252",
year = 1989,
keywords = "permutation groups; Sylow subgroups",
reviews = "MR 90i:20003 (J.D. Dixon),
Zbl 677.20001 (J. Neub{\"u}ser)",
}
@inproceedings{ButlerCannon89b,
author = {G.\ Butler and John Cannon},
title = {Cayley, version 4: the user language},
year = 1989,
address = {Berlin},
pages = {456--466},
series = {Lecture Notes in Comput.\ Sci.},
volume = 358,
editor = {P.\ Gianni},
organization = {(Proceedings of 1988 International Symposium on Symbolic and Algebraic Computation, Rome)},
publisher = {Springer-Verlag}
}
@article{ButlerCannon91,
author = "Gregory Butler and John J. Cannon",
title = "Computing {Sylow} Subgroups using Homomorphic Images of Centralizers",
journal = JSC,
volume = 12,
pages = "443--458",
year = 1991
}
@inproceedings{ButlerIyer90,
author = {G.\ Butler and S.S.\ Iyer},
title = {Deductive mathematical databases -- a case study},
booktitle = {Proceedings of $5$th International Conference on},
month = {Statistical and Scientific Databases},
year = 1990,
address = berlin,
pages = {50--64},
series = lncs,
volume = 420,
organization = {(North Carolina, 1990)},
publisher = springer
}
@article{ButlerIyeretal93,
author = {G.\ Butler and S.S.\ Iyer and E.A.\ O'Brien},
title = {TwoGroups: A Database for Group-Theory},
journal = nams,
volume = 40,
pages = {839--841},
year = 1993
}
@article{ButlerIyeretal94,
author = {G.\ Butler and S.S.\ Iyer and E.A.\ O'Brien},
title = {A Database of Groups of Prime-Power Order},
journal = {Software--Practice and Experience},
pages = {911--951},
volume = 24,
year = 1994
}
@article{ButlerLam85,
author = "G.\ Butler and C.W.H.\ Lam",
title = "A General Backtrack Algorithm for the Isomorphism Problem of
Combinatorial Objects",
journal = JSC,
volume = 1,
pages = "363--381",
year = 1985,
keywords = "combinatorics;; backtrack",
reviews = "MR 87j:68044 (Summary),
Zbl 611.05030 (M.M. Syslo)",
}
@article{McKay69,
author = "John McKay",
title = "Table errata: {\it The groups of order $2^{n}$ $(n\leq 6)$}
(Macmillan, New York, 1964) by M. Hall, Jr. and J. K. Senior",
journal = {Math. Comp.},
volume = 23,
pages = "691-692",
year = 1969,
}
@manual{CAS,
author = "M. Aasman and others",
title = "The {CAS} System. User Manual",
edition = "(Provisional Version)",
year = 1981,
address = aachen,
keywords = "ordinary representations; characters;; manual",
}
@article{CameronKovacsetal85,
author = {Peter J.\ Cameron and L.G.\ Kov{\'a}cs and M.F.\ Newman and Cheryl E.\ Praeger},
title = {Fixed-point-free permutations in transitive permutation groups of prime-power order},
journal = qjm2,
volume = 36,
pages = {273-278},
year = 1985
}
@mastersthesis{Campbell65,
author = "Colin M. Campbell",
title = "Enumeration of Cosets and Solutions of Some Word Problems in
Groups",
year = 1965,
address = "McGill University",
keywords = "finitely presented groups; permutation representation,
subgroup presentation; todd coxeter, modified todd coxeter",
}
@inproceedings{Campbell70,
author = "C.M.\ Campbell",
title = "Some Examples Using Coset Enumeration",
pages = "37--41",
keywords = "finitely presented groups;; todd coxeter; application",
reviews = "MR 40 # 7341 (J.A. Todd),
Zbl 188, 60 (Autorreferat),
CR 12 # 20,718 (Y. Give'on)",
booktitle = abstractalgebra,
year = 1970,
address = {Oxford, London, Edinburgh},
organization = oxford67,
publisher = pergamon
}
@phdthesis{Campbell75,
author = "Colin M.\ Campbell",
title = "Applications of the {Todd-Coxeter} Coset Enumeration Algorithm",
year = 1975,
address = StAndrews,
keywords = "finitely presented groups;; todd coxeter; application",
}
@inproceedings{Campbell76,
author = "C.M. Campbell",
title = "Computational Techniques and the Structure of Groups in a Certain Class",
booktitle = {{\rm SYMSAC '76,} Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
address = {New York},
organization = {(New York, 1976)},
publisher = {Association for Computing Machinery},
pages = "312--321",
keywords = "finitely presented groups;; todd coxeter; application",
abstract = "SIGSAM Bull. 10 no. 3 (1976),11",
}
@article{CampbellRobertson74,
author = "C.M.\ Campbell and E.F.\ Robertson",
title = "Applications of the {Todd-Coxeter} Algorithms in Generalised
{Fibonacci} Groups",
journal = "Proc. Roy. Soc. Edinburgh Sect. A",
volume = 73,
pages = "163--166",
year = "1974",
keywords = "finitely presesnted groups;; todd coxeter; application",
reviews = "MR 52 # 3338 (H.S.M. Coxeter),
Zbl 3335.20012 (Autorreferat)",
}
@article{CampbellRobertson84,
author = {C.M.\ Campbell and E.F.\ Robertson},
title = {Presentations for the simple groups $G$, $10^5 < \vert G\vert < 10^6$},
journal = {Comm.\ Algebra},
volume = 12,
pages = {2643-2663},
year = 1984
}
@inbook{CampbellRobertson85,
author = {C.M.\ Campbell and E.F.\ Robertson},
title = {A {CAYLEY} file of finite simple groups},
series = lncs,
volume = 204,
pages = {243-244},
year = 1985,
publisher = springer,
address = berlin
}
@inproceedings{CampbellRobertson89,
author = {C.M.\ Campbell and E.F.\ Robertson},
title = {Symmetric presentations},
booktitle = {Group Theory},
year = 1989,
pages = {497-506},
organization = {(Singapore, 1987)},
publisher = {Walter de Gruyter}
}
@inproceedings{CampbellRobertsonetal89a,
author = {C.M.\ Campbell and E.F.\ Robertson and R.M.\ Thomas},
title = {On groups related to {F}ibonacci groups},
booktitle = {Group Theory},
year = 1989,
pages = {323-331},
organization = {(Singapore, 1987)},
publisher = {Walter de Gruyter}
}
@article{CampbellRobertsonetal89b,
author = {C.M.\ Campbell and E.F.\ Robertson and P.D.\ Williams},
title = {Efficient presentations for finite simple groups and related groups},
journal = lnm,
volume = 1398,
pages = {65-72},
year = 1989
}
@article{Cannon68,
author = "John J. Cannon",
title = "The Manipulation of Algebraic Structures. Commutative and
Non-Commutative Polynomial Rings",
journal = {Math.\ Algorithms},
volume = 3,
pages = "156--175",
year = 1968,
keywords = "polynomial rings, Lie algebras",
reviews = "MR 40 # 6805 (author's summary),
Zbl 244.68016 (H. Sandmann),
Comput. Information Systems 6 # 27875",
}
@article{Cannon69a,
author = "John J. Cannon",
title = "Computers in Group Theory: A Survey",
journal = "Comm. ACM",
volume = 12,
pages = "3--12",
year = 1969,
keywords = "groups;;; survey",
reviews = "MR 44 # 7793 (D.H. McLain),
Zbl 167, 457 (author's summary),
CR 10 # 17,617 (T.N. Bhargava),
Comput. Information Systems 7 # 34089",
}
@phdthesis{Cannon69b,
author = "John J. Cannon",
title = "Computation in Finite Algebraic Structures",
year = 1969,
address = sydney,
keywords = "groups, Lie algebras, semigroups, finite fields;;;
survey, implementation",
note = "x + 296 pages",
}
@inproceedings{Cannon70,
author = "John J. Cannon",
title = "Some combinatorial and symbol manipulation programs in
group theory",
pages = "199--203",
keywords = "groups, $p$-groups; subgroup lattice, collection",
reviews = "MR 41 # 8512 (R. Keown),
Zbl 195, 37 (Autorreferat),
CR 11 # 19,830 (G.N. Raney)",
booktitle = abstractalgebra,
year = 1970,
address = {Oxford, London, Edinburgh},
organization = oxford67,
publisher = pergamon
}
@inproceedings{Cannon71,
author = "John J. Cannon",
title = "Computing Local Structure of Large Finite Groups",
booktitle = {Computers in algebra and number theory},
year = 1971,
address = {Providence, RI},
organization = {(New York, 1970)},
series = pams,
publisher = {Amer.\ Math.\ Soc.},
volume = 4,
editor = {Garret Birkhoff and Marshall {Hall, Jr.}},
pages = "161--176",
keywords = "groups; sylow subgroups",
reviews = "MR 51 # 3269 (R.G. Stanton,
Zbl 253.20027 (from the introduction)",
note = "Russian translation in: Computations in Algebra and Number
Theory edited by R.B. Venkov and D.K. Faddeev, pp. 74-94,
Matematika, Novoie v Zarubaznoi Naukie, vol. 2, Izdat. MIR,
Moscow, 1976",
}
@inproceedings{Cannon72,
author = "John J. Cannon",
title = "Graphs and Defining Relations",
booktitle = "Proc.\ First Australian Conf.\ on Combinatorial Mathematics",
organization = "(Newcastle, 1972)",
pages = "215--233",
keywords = "groups; presentation; relation finding",
reviews = "MR 51 # 13047 (W. Moser),
Zbl 275.20064 (A.A. Iskander)",
}
@article{Cannon73,
author = "John J. Cannon",
title = "Construction of Defining Relators for Finite Groups",
journal = DiscMath,
volume = 5,
pages = "105--129",
year = 1973,
keywords = "groups; presentation; relation finding",
reviews = "MR 47 # 6869 (H.S.M. Coxeter),
Zbl 272.20030 (C.R.J. Clapham),
Comput. Information Systems 10 # 70132C (title only)",
note = "Russian translation in: Computations in Algebra and Number
Theory (Russian), edited by B.B. Venkov and D.K. Faddeev,
pp. 47-73. Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
Izdat. MIR, Moscow, 1976",
}
@inproceedings{Cannon74,
author = {John Cannon},
title = {A general purpose group theory program},
booktitle = {Proc.\ Second Internat.\ Conf.\ Theory of Groups},
year = 1974,
pages = {204-217},
series = lnm,
volume = 372,
organization = {(Canberra, 1973)},
publisher = springer,
address = berlin
}
@inproceedings{Cannon76,
author = "John J. Cannon",
title = "A Draft Description of the Group Theory Language {Cayley}",
booktitle = {{\rm SYMSAC '76,} Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
address = {New York},
organization = {(New York, 1976)},
publisher = {Association for Computing Machinery},
pages = "66--84",
keywords = "system design; cayley",
abstract = "SIGSAM Bull. 10 no. 3 (1976), 6",
reviews = "Zbl 455.20001",
}
@inproceedings{Cannon80a,
author = "John J.\ Cannon",
title = "Effective Procedures for the Recognition of Primitive Groups",
booktitle = {Finite Groups},
year = 1980,
address = {Providence, RI},
pages = "487--493",
series = {Proc.\ Sympos.\ Pure Math.},
volume = 37,
editor = {Bruce Cooperstein and Geoffrey Mason},
organization = {(Santa Cruz, 1979)},
publisher = {Amer.\ Math.\ Soc.},
keywords = "permutation groups; recognition",
reviews = "MR 82f:20003 (from the introduction),
Zbl 449.20003 (G. Butler)",
}
@inproceedings{Cannon80b,
author = "John J.\ Cannon",
title = "Software Tools for Group Theory",
year = 1980,
booktitle = {Finite Groups},
address = {Providence, RI},
series = {Proc.\ Sympos.\ Pure Math.},
volume = 37,
editor = {Bruce Cooperstein and Geoffrey Mason},
organization = {(Santa Cruz, 1979)},
publisher = {Amer.\ Math.\ Soc.},
pages = "495--502",
reviews = "MR 82i:20003 (from the introduction),
Zbl 448.20004 (J. Neub{\"u}ser)",
}
@inproceedings{Cannon81,
author = "John J. Cannon",
title = "The Basis of a Computer System for Modern Algebra",
booktitle = {Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
year = 1981,
organization = {(Utah, 1981)},
pages = "1--5",
keywords = "system design; Cayley",
reviews = "Zbl 482.68038 (J. Davenport)",
}
@manual{Cannon82,
title = {A language for group theory},
author = {John Cannon},
organization = sydney,
address = {Department of Pure Mathematics},
keywords = "system design; cayley",
note = "316 pages",
year = 1982
}
@inproceedings{Cannon84a,
author = {John J.\ Cannon},
title = {An Introduction to the Group Theory Language, {C}ayley},
booktitle = {Computational Group Theory},
year = 1984,
address = {London, New York},
pages = {145-183},
organization = {(Durham, 1982)},
reviews = {MR (see 85g:20001 (title in proceedings only), Zbl 544.20002 (M.~F. Newman)},
publisher = academic
}
@inproceedings{Cannon84b,
author = "J.\ Cannon",
title = "A Computational Toolkit for Finite Permutation Groups",
booktitle = {Proc.\ Rutgers Group Theory Year, {\rm 1983--1984}},
organization = {(Rutgers, 1983-1984)},
year = 1984,
pages = "1--18",
keywords = "permutation groups;",
publisher = {Cambridge University Press},
address = {Cambridge},
reviews = "MR 87c:20002 (D.F. Holt),
Zbl 648.20002 (from the introduction)",
}
@manual{Cannon87,
title = {{CAYLEY} Bulletin $3$},
author = {John Cannon},
organization = sydney,
address = {Department of Pure Mathematics},
year = 1987,
}
@proceedings{Cannon90,
title = "{Computational Group Theory {I}}",
year = 1990,
author ={John Cannon},
editor = {John Cannon},
organization = jsc,
volume = 9,
}
@proceedings{Cannon91,
title = "{Computational Group Theory {II}}",
year = 1990,
author ={John Cannon},
editor = {John Cannon},
organization = jsc,
volume = 12,
}
@article{CannonDiminoetal73,
author = "John J.\ Cannon and Lucien A. Dimino and George Havas and Jane M.\ Watson",
title = "Implementation and Analysis of the {Todd-Coxeter} Algorithm",
journal = mathcomp,
volume = 27,
pages = "463--490",
year = 1973,
keywords = "finitely presented groups; permutation representation;
todd-coxeter",
reviews = "MR 49 # 390 (Hale F. Trotter),
Zbl 314.20028 (C.G. Chehata),
Comput. Information Systems 11 # 77264C",
}
@techreport{CannonGallagheretal72,
author = "John Cannon and Robyn Gallagher and Kim McAllister",
title = "{STACKHANDLER}: A Language Extension for Low Level Set
Processing. Programming and Implementation Manual",
type = "Technical report",
number = 5,
year = 1972,
institution = SydneyPM,
address = sydney,
keywords = "system design; stackhandler;; manual",
note = "240 pages + appendix, revised 1974",
}
@article{CannonHavas92,
author = {John Cannon and George Havas},
title = {Algorithms for Groups},
journal = {Australian Computer Journal},
volume = 24,
number = 2,
pages = {51--60},
year = 1992
}
@techreport{CannonMcAllister71,
author = "John Cannon and Kim McAllister",
title = "The Sydney Interactive Group Theory Program",
type = "Technical report, computer-aided mathematics project",
number = 1,
year = 1971,
institution = SydneyPM,
address = sydney,
keywords = "groups;;; implementation",
note = "54 pages, revised 1972",
}
@article{CannonMcKayetal79,
author = "John J.\ Cannon and John McKay and Kiang-Chuan Young",
title = "The Non-Abelian Simple Groups {$G$},
{$|G| < 10^5$} - Presentations",
journal = commalg,
volume = 7,
pages = "1397--1406",
year = 1979,
keywords = "finitely presented groups;;; classification",
reviews = "MR 80e:20023 (authors' summary),
Zbl 428.20010 (Autorreferat)",
}
@manual{CannonPlayoust93,
title = {An Introduction to {\sc Magma}},
author = {John Cannon and Catherine Playoust},
organization = sydneyschool,
address = sydney,
year = 1993
}
@techreport{CannonRichardson73,
author = "John Cannon and James Richardson",
title = "The {GROUP} System for Investigating the Structure of Groups.
User and maintenance manual",
type = "Technical report, computer-aided mathematics project",
number = 8,
year = 1973,
institution = SydneyPM,
address = sydney,
keywords = "system design; group;; manual implementation",
note = "146 pages",
}
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author = {A.\ Cayley},
title = {On the Theory of Groups, as depending on the Symbolic Equation $\theta^n = 1$},
journal = {Philos.\ Mag.\ (4)},
volume = 7,
pages = {40-47},
year = 1854
}
@article{Cayley59,
author = {A.\ Cayley},
title = {On the Theory of Groups, as depending on the Symbolic Equation $\theta^n = 1$. - Part {III}},
journal = {Philos.\ Mag.\ (4)},
volume = 18,
pages = {34-37},
year = 1859
}
@article{Cayley89,
author = {A.\ Cayley},
title = {On the theory of groups},
journal = {Amer.\ J.\ Math},
volume = 11,
pages = {139-157},
year = 1889
}
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author = {Frank Celler and C.R.\ Leedham-Green},
title = {Calculating the order of an invertible matrix},
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volume = 28,
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pages = {55-60},
year = 1997,
}
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AUTHOR = {F. Celler and C.R. Leedham-Green},
TITLE = {A constructive recognition algorithm for the special linear
group},
BOOKTITLE = {The atlas of finite groups: ten years on (Birmingham, 1995)},
SERIES = {London Math. Soc. Lecture Note Ser.},
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PAGES = {11--26},
PUBLISHER = {Cambridge Univ. Press},
ADDRESS = {Cambridge},
YEAR = {1998},
}
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author = {Frank Celler and Charles R.\ Leedham-Green
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title = {Generating random elements of a finite group},
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volume = 23,
pages = {4931-4948},
year = 1995
}
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author = "Frank Celler and
Joachim Neub{\"u}ser and
Charles~R.~B. Wright",
title = "Some remarks on the computation of complements and
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volume = "21",
pages = "57--76",
year = "1990",
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author = "Franz-Leo Chomse",
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type = "Diplomarbeit",
year = 1982,
address = Aachen,
keywords = "polycyclic groups; nilpotent groups;; algorithm description",
note = "140 pages, supplement on microfiches",
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author = {David V.\ Chudnovsky and Richard D.\ Jenks},
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author = "E.J. Cockayne",
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volume = 23,
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year = 1969,
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reviews = "MR 39 # 3733 (title only),
Zbl 181, 197 (J. McKay)",
note = "SUPPLEMENT on microfiche",
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author = {F.N.\ Cole and J.W.\ Glover},
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year = 1893
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author = "George E. Collins",
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Zbl 191, 56 (D. Knuth)",
}
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author = "Stig Comet",
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Zbl 68, 106 (O. Tamaschke)",
}
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author = "Stig Comet",
title = "{\"U}ber die {Anwendung} von {Bin{\"a}rmodellen} in der
{Theorie} der {Charaktere} der Symmetrischen {Gruppen}",
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year = 1959,
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Zbl 100, 30 (P. Braunfeld)",
}
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author = "Stig Comet",
title = "Improved Methods to Calculate the Characters of the Symmetric
Group",
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year = 1960,
keywords = "ordinary representations; characters; symmetric groups",
reviews = "MR 22 # 10212 (J.S. Frame),
Zbl 103, 264 (J. Neub{\"u}ser)",
}
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author = {M.\ Conder},
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journal = boz,
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year = 1984
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author = {M.\ Conder},
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year = 1989
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@article{Conder90,
author = {M.\ Conder},
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year = 1990
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@inproceedings{ConderLeedhamGreen01,
AUTHOR = {Marston Conder and Charles R. Leedham-Green},
TITLE = {Fast recognition of classical groups over large fields},
BOOKTITLE = {Groups and computation, III (Columbus, OH, 1999)},
SERIES = {Ohio State Univ. Math. Res. Inst. Publ.},
VOLUME = {8},
PAGES = {113--121},
PUBLISHER = {de Gruyter},
ADDRESS = {Berlin},
YEAR = {2001},
}
@article{ConderLeedhamGreenetal06,
AUTHOR = {M.D.E. Conder and C.R. Leedham-Green and E.A. O'Brien},
TITLE = {Constructive recognition of $PSL(2, q)$},
journal = tams,
year = 2006,
}
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author = {S.B. Conlon},
title = {Twisted group algebras and their representations},
journal = {J.\ Austral.\ Math.\ Soc.},
volume = 4,
pages = {152--173},
year = 1964
}
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author = {S.B.\ Conlon},
title = {$p$-groups with an abelian maximal subgroup and cyclic center},
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pages = {221--233},
year = 1976
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author = {S.B.\ Conlon},
title = {Nonabelian subgroups of prime-power order of classical
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address = {Berlin, Heidelberg, New York},
organization = {(Canberra, 1975)},
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editor = {R.A.\ Bryce, J.\ Cossey and M.F.\ Newman},
series = {Lecture Notes in Mathematics},
publisher = {Springer-Verlag}
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@article{Conlon90,
author = {S.B. Conlon},
title = {Calculating Characters of $p$-groups},
journal = jsc,
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volume = 9,
year = 1990,
crossref = {Cannon90},
}
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author = "J.H.\ Conway and R.T.\ Curtis and S.P.\ Norton and R.A.\ Parker
and R.A.\ Wilson",
year = "1985",
title = "Atlas of finite groups",
publisher = "Clarendon Press",
address = "Oxford",
}
@article{ConwayWales73,
author = "J.H.\ Conway and D.B.\ Wales",
title = "Construction of the {Rudvalis} Group of Order 145,926,144,000",
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volume = 27,
pages = "538--548",
year = 1973,
keywords = "groups; simple groups;; existence proof",
reviews = "MR 49 # 400 (Henry S. Leonard, Jr.),
Zbl 284.20022 (U. Dempwolff)",
}
@inproceedings{BabaiShalev01,
author = {L\'aszl\'o Babai and Aner Shalev},
title = {Recognizing simplicity of black-box groups and
the frequency of ${p}$-singular elements in affine groups},
booktitle = {Groups and Computation {\rm III}},
organization = {(Ohio, 1999)},
series = {Ohio State Univ.\ Math.\ Res.\ Inst.\ Publ.},
publisher = {de Gruyter},
address = {Berlin},
year = 2001,
pages = {39--62},
}
@inproceedings{CoopermanFinkelstein93,
author = {Gene Cooperman and Larry Finkelstein},
title = {Combinatorial Tools for Computational Group Theory},
booktitle = {Groups and Computation},
organization = {(DIMACS, 1991)},
year = 1993,
series = {Amer.\ Math.\ Soc.\ DIMACS Series},
volume = 11,
pages = {53--86}
}
@inproceedings{CoopermanFinkelsteinetal94,
author = {Gene Cooperman and Larry Finkelstein and Bryant York and Michael Tselman},
title = {Constructing Permutation Representations for Large Matrix Groups},
year = 1994,
address = {New York},
booktitle = {Proceedings of International Symposium on Symbolic and Algebraic Computation {\rm ISSAC '94}},
organization = {(Oxford)},
pages = {134--138},
publisher = {ACM Press}
}
@inproceedings{CoopermanFinkelsteinetal97a,
author = {Gene Cooperman and Larry Finkelstein
and Stephen A.\ Linton},
title = {Constructive recognition
of a black box group isomorphic to $GL(n,2)$},
organization = {(DIMACS, 1995)},
series = {Amer.\ Math.\ Soc.\ DIMACS Series},
volume = 28,
year = 1997,
crossref = {FinkelsteinKantor97},
}
@article{CoopermanFinkelsteinetal97b,
author = {G.~Cooperman and L.~Finkelstein and M.~Tselman and B.~York},
title = {Constructing permutation representations for
matrix groups},
journal = jsc,
year = 1997,
}
@book{CoxeterMoser57,
author = "H.S.M.\ Coxeter and W.O.J.\ Moser",
year = 1957,
title = "Generators and Relations for Discrete Groups",
series = "Ergeb.\ Math.\ Grenzgeb.",
volume = "14",
edition = "4th",
publisher = "Springer-Verlag",
address = "Berlin, G{\"{o}}ttingen, Heidelberg",
keywords = "finitely presented groups;
permutation representation, subgroup presentation;;
algorithm description, survey, classification of groups",
reviews = "MR 19, 527 (G. Higman),
MR 30 # 4818,
MR 50 # 2313,
MR 81a:20001,
MR 82c:20002,
Zbl 77, 28 (B.H. Neumann),
Zbl 133, 280 (title only),
Zbl 239.20040 (B.H. Neumann),
Zbl 422.20001 (B.H. Neumann),
Zbl 487.20023 (Translated from the third English by V.~A. Churkin.
With a supplement by Yu.~J. Merzlyakov),
Bull. Amer. Math. Soc. 64, 106 (M. Hall),
Math. Comput. 19, 688",
note = "ix + 169 pages, first edition 1957,
Russian translation of the 3rd edition: Nauka, Moscow, 1980",
}
@techreport{Crary70,
author = "F.D. Crary",
title = "A Computer Program for Interactive Manipulation of Finite
Group Presentations",
type = "MRC technical summary report",
number = 1045,
year = 1970,
address = "University of Wisconsin, Madison",
keywords = "finitely presented groups",
}
@book{CurtisReiner62,
author = {C.W. Curtis and I. Reiner},
title = {Representation Theory of Finite Groups and Associative Algebras},
publisher = {Interscience},
year = 1962,
volume = {11},
series = {Pure and Appl. Math.},
address = {New York},
edition = {2nd}
}
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author = {Charles W. Curtis and Irving Reiner},
title = {Methods of Representation Theory (with
Applications to Finite Groups and Orders), Volume 1},
publisher = {John Wiley \& Sons},
year = 1981,
address = {New York, Chichester, Brisbane, Toronto}
}
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author = "E. Czyzo",
title = "On the Determination of {Hall} Polynomials",
journal = "Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys.",
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pages = "739--745",
year = 1975,
keywords = "free groups; collection",
reviews = "MR 52 # 8252 (K.A. Hirsch),
Zbl 314.20022 (Autorreferat)",
}
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author = {E.C.\ Dade},
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volume = 91,
pages = {230--290},
year = 1970
}
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author = {E.C.\ Dade},
title = {Group-graded rings and modules},
journal = {Math.\ Z.},
volume = 174,
pages = {241--262},
year = 1980
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author = {E.C.\ Dade},
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number = 2,
pages = {374--403},
year = 1981
}
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author = "K. Dalek",
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pages = "711--718",
year = 1971,
keywords = "free groups; collection",
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Zbl 229.20037 (author's summary)",
}
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author = "K. Dalek",
title = "On the {Hall} Formula in Nilpotent and Solvable Groups",
journal = "Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys.",
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pages = "829--837",
year = 1975,
keywords = "polycyclic groups; collection",
reviews = "MR 53 # 3127 (Vance Faber),
Zbl 315.20014 (Autorreferat)",
}
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author = {Richard M. Davitt},
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pages = {1168-1176},
year = 1980
}
@mastersthesis{Deeken78,
author = "Gerhard Deeken",
title = "{Methoden} zum {Umgang} mit {Charakteren} und ihre
{Implementation}",
type = "Diplomarbeit",
year = 1978,
address = Aachen,
keywords = "ordinary representations; characters",
note = "91 pages",
}
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author = {M.\ Dehn},
title = {Uber unendliche diskontinuierliche {G}ruppen},
journal = mathann,
volume = 71,
pages = {116-144},
year = 1911
}
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}
@techreport{HavasMajewskietal95,
author = {George Havas and B.S. Majewski and K.R. Matthews},
title = {Extended gcd algorithms},
type = "Technical report 302",
year = 1995,
institution = {University of Queensland},
}
@inproceedings{HavasNewman80,
author = {George Havas and M.F.\ Newman},
title = {Application of computers to questions like those of {B}urnside},
booktitle = {Burnside Groups},
year = 1980,
address = berlin,
pages = {211-230},
series = {Lecture Notes in Math.},
volume = 806,
organization = {(Bielefeld, 1977)},
publisher = springer
}
@article{HavasNewman83,
author = {George Havas and M.F.\ Newman},
title = {Minimal presentations for finite groups of prime-power order},
journal = {Comm.\ Algebra},
volume = 11,
pages = {2267-2275},
year = 1983
}
@article{HavasNewmanetal90,
author = {George Havas and M.F.\ Newman and M.R.\ Vaughan-Lee},
title = {A nilpotent quotient algorithm for graded Lie Rings},
journal = jsc,
volume = 9,
pages = {653--664},
year = 1990
}
@inproceedings{HavasNewmanetal95,
author = {George Havas and M.F.\ Newman and E.A.\ O'Brien},
title = {Groups of deficiency zero},
booktitle = {Geometric and Computational Perspectives on Infinite Groups},
organization = {(DIMACS, 1994)},
editor = {G. Baumslag and others},
year = 1995,
series = {Amer.\ Math.\ Soc.\ DIMACS Series},
volume = 25,
pages = {53--67},
}
@inproceedings{HavasNicholson76,
author = {George Havas and Tim Nicholson},
title = {Collection},
booktitle = {{\rm SYMSAC '76,} Proc.\ {ACM} Sympos.\ symbolic and algebraic computation},
pages = {9-14},
year = 1976,
organization = {(New York, 1976)},
publisher = {Association for Computing Machinery, New York}
}
@article{HavasOllila93,
author = {George Havas and Mark Ollila},
title = {Application of substring searching methods to group presentations},
journal = {Australian Computer Science Communications},
volume = 15,
pages = {587--593},
year = 1993
}
@article{HavasRichardson83,
author = {George Havas and J.S.\ Richardson},
title = {Groups of exponent five and class four},
journal = {Comm.\ Algebra},
volume = 11,
pages = {287-304},
year = 1983
}
@article{HavasRichardsonetal79,
author = {George Havas and J.S.\ Richardson and Leon S.\ Sterling},
title = {The last of the {F}ibonacci groups},
journal = {Proc.\ Roy.\ Soc.\ Edinburgh Sect.\ A},
volume = {83A},
pages = {199-203},
year = 1979
}
@inproceedings{HavasRobertson83,
author = {George Havas and E.F.\ Robertson},
title = {Two groups which act on cubic graphs},
booktitle = cgt,
year = 1983,
address = {London, New York, San Francisco},
pages = {63-65},
organization = durham,
publisher = academic
}
@inproceedings{HavasSterling79,
author = {George Havas and L.S.\ Sterling},
title = {Integer matrices and abelian groups},
booktitle = {Symbolic and Algebraic Computation},
year = 1979,
address = berlin,
pages = {431-451},
series = lncs,
volume = 72,
organization = {(Marseille, 1979)},
publisher = springer
}
@article{HavasWalletal74,
author = {George Havas and G.E.\ Wall and J.W.\ Wamsley},
title = {The two generator restricted {B}urnside group of exponent five},
journal = boz,
volume = 10,
pages = {459-470},
year = 1974
}
@article{Hawkins91,
author = {Thomas Hawkins},
title = {Jacobi and the Birth of {L}ie's Theory of Groups},
journal = {Archive for the History of Exact Sciences},
volume = 42,
number = 3,
pages = {187-278},
month = {September},
year = 1991,
annote = {History}
}
@article{Heineken60,
author = {Hermann Heineken},
title = {Eine {B}emerkung \"uber engelsche {E}lemente},
journal = archiv,
volume = 11,
pages = {321},
year = 1960
}
@article{Heineken61,
author = {Hermann Heineken},
title = {Engelsche {E}lemente der {L}\"ange drei},
journal = illinois,
volume = 5,
pages = {681-707},
year = 1961
}
@book{Herstein75,
author = {I.N.~Herstein},
title = {Topics in Algebra},
publisher = {John Wiley \& Sons},
edition = {2nd},
year = 1975,
address = {New York},
}
@book{HoltEicketal05,
author = {Derek F.\ Holt and Bettina Eick and Eamonn A.\ O'Brien},
title = {Handbook of computational group theory},
publisher = {Chapman and Hall/CRC},
year = 2005,
address = {London},
}
@article{Higman40,
author = {Graham Higman},
title = {The units of group-rings},
journal = {Proc.\ London Math.\ Soc.\ $(2)$},
volume = 46,
pages = {231-248},
year = 1940
}
@article{Higman48a,
author = {G.\ Higman},
title = {The compacting of topological spaces},
journal = qjm,
volume = 19,
pages = {27-32},
year = 1948
}
@article{Higman48b,
author = {G.\ Higman},
title = {A theorem on linkages},
journal = qjm,
volume = 19,
pages = {117-122},
year = 1948
}
@article{Higman49,
author = {G.\ Higman},
title = {Note on a theorem of {R}.\ {B}aer},
journal = {Proc.\ Cambridge Philos.\ Soc.},
volume = 45,
pages = {321-327},
year = 1949
}
@article{Higman51a,
author = {Graham Higman},
title = {A finitely related group with an isomorphic proper factor group},
journal = jlms,
volume = 26,
pages = {59-61},
year = 1951
}
@article{Higman51b,
author = {Graham Higman},
title = {A finitely generated infinite simple group},
journal = jlms,
volume = 26,
pages = {61-64},
year = 1951
}
@article{Higman51c,
author = {Graham Higman},
title = {Almost free groups},
journal = plms3,
volume = 1,
pages = {284-290},
year = 1951
}
@article{Higman52a,
author = {Graham Higman},
title = {Ordering by divisibility in abstract algebras},
journal = plms3,
volume = 2,
pages = {326-336},
year = 1952
}
@article{Higman52b,
author = {Graham Higman},
title = {Unrestricted free products, and varieties of topological groups},
journal = jlms,
volume = 27,
pages = {73-81},
year = 1952
}
@article{Higman53,
author = {Graham Higman},
title = {On a problem of {T}akahasi},
journal = jlms,
volume = 28,
pages = {250-252},
year = 1953
}
@article{Higman54,
author = {Graham Higman},
title = {On infinite simple permutation groups},
journal = {Publ.\ Math.\ Debrecen},
volume = 3,
pages = {221-226},
year = 1954
}
@article{Higman55a,
author = {Graham Higman},
title = {A remark on finitely generated nilpotent groups},
journal = pams,
volume = 6,
pages = {284-285},
year = 1955
}
@article{Higman55b,
author = {Graham Higman},
title = {Finite groups having isomorphic images in every finite group of which they are homomorphic images},
journal = qjm2,
volume = 6,
pages = {250-254},
year = 1955
}
@article{Higman56a,
author = {G.\ Higman},
title = {On finite groups of exponent five},
journal = {Proc.\ Cambridge Philos.\ Soc.},
volume = 52,
pages = {381-390},
year = 1956
}
@article{Higman56b,
author = {Graham Higman},
title = {On a conjecture of {N}agata},
journal = {Proc.\ Cambridge Philos.\ Soc.},
volume = 52,
pages = {1-4},
year = 1956
}
@article{Higman56c,
author = {Graham Higman},
title = {Complementation of abelian normal subgroups},
journal = {Publ.\ Math.\ Debrecen},
volume = 4,
pages = {455-458},
year = 1956
}
@article{Higman57a,
author = {Graham Higman},
title = {Groups and rings having automorphisms without non-trivial fixed elements},
journal = jlms,
volume = 32,
pages = {321-334},
year = 1957
}
@article{Higman57b,
author = {Graham Higman},
title = {Finite groups in which every element has prime power order},
journal = jlms,
volume = 32,
pages = {335-342},
year = 1957
}
@article{Higman58,
author = {G.\ Higman},
title = {A partial solution to a problem of {D.J.}\ {B}ehrens},
journal = mathgaz,
volume = 42,
pages = {217-218},
year = 1958
}
@article{Higman59,
author = {Graham Higman},
title = {Some remarks on varieties of groups},
journal = qjm2,
volume = 10,
pages = {165-178},
year = 1959
}
@misc{Higman60a,
author = "Graham Higman",
year = "1960",
title = "Enumerating {\it p}-groups: {III}",
note = "One of 4 lectures delivered as part of a group theory seminar
at the University of Chicago in Autumn 1960"
}
@inproceedings{Higman60b,
author = {Graham Higman},
title = {Identical relations in finite groups},
booktitle = {Conv.\ Internaz.\ di Teoria dei Gruppi Finiti},
year = 1960,
address = {Rome},
pages = {93-100},
organization = {(Firenze, 1960)}
}
@inproceedings{Higman60c,
author = {Graham Higman},
title = {Lie ring methods in the theory of finite nilpotent groups},
booktitle = {Proc.\ Internat.\ Congr.\ Math.},
year = 1960,
pages = {307-312},
organization = {(Edinburgh, 1958)},
publisher = {Cambridge University Press}
}
@article{Higman60d,
author = {Graham Higman},
title = {Enumerating $p$-groups. {I}: {I}nequalities},
journal = plms3,
volume = 10,
pages = {24-30},
year = 1960
}
@article{Higman60e,
author = {Graham Higman},
title = {Enumerating $p$-groups, {II}: Problems whose solution is $PORC$},
journal = plms3,
volume = 10,
pages = {566-582},
year = 1960
}
@article{Higman61,
author = {G.\ Higman},
title = {Subgroups of finitely presented groups},
journal = {Proc.\ Roy.\ Soc.\ Ser.\ A},
volume = 262,
pages = {455-475},
year = 1961
}
@inproceedings{Higman62,
author = {G.\ Higman},
title = {$p$-length theorems},
booktitle = {$1960$ Institute on Finite Groups},
year = 1962,
address = {Providence, RI},
pages = {1-16},
series = {Proc.\ Sympos.\ Pure Math.},
volume = 6,
publisher = {Amer.\ Math.\ Soc.}
}
@article{Higman63a,
author = {Graham Higman},
title = {Suzuki 2-groups},
journal = illinois,
volume = 7,
pages = {79-96},
year = 1963
}
@article{Higman63b,
author = {Graham Higman},
title = {The lower central series of a free loop},
journal = qjm2,
volume = 14,
pages = {131-140},
year = 1963
}
@article{Higman64,
author = {Graham Higman},
title = {Amalgams of $p$-groups},
journal = jalg,
volume = 1,
pages = {301-305},
year = 1964
}
@inproceedings{Higman67a,
author = {Graham Higman},
title = {The orders of relatively free groups},
booktitle = {Proc.\ Internat.\ Conf.\ Theory of Groups},
year = 1967,
address = {New York, London, Paris},
pages = {153-165},
organization = {(Canberra, 1965)},
publisher = {Gordon and Breach}
}
@inproceedings{Higman67b,
author = {Graham Higman},
title = {Representations of general linear groups and varieties of $p$-groups},
booktitle = {Proc.\ Internat.\ Conf.\ Theory of Groups},
year = 1967,
address = {New York, London, Paris},
pages = {167-173},
organization = {(Canberra, 1965)},
publisher = {Gordon and Breach}
}
@article{Higman69,
author = {Graham Higman},
title = {On the simple group of {D.G.}\ {H}igman and {C.C.}\ {S}ims},
journal = illinois,
volume = 13,
pages = {74-80},
year = 1969
}
@inproceedings{Higman71,
author = {G.\ Higman},
title = {Construction of simple groups from character tables},
booktitle = {Finite Simple Groups},
year = 1971,
address = {London, New York},
pages = {205-214},
editor = {M.B.\ Powell and G.\ Higman},
publisher = academic
}
@misc{Higman73,
author = {Graham Higman},
title = {An infinite family of finitely presented infinite simple groups},
howpublished = {Mimeographed Lecture Notes taken by B.M.\ Hurley},
year = 1973
}
@inproceedings{Higman74a,
author = {Graham Higman},
title = {Some $p$-local conditions for odd $p$},
booktitle = {Sympos.\ Math.\ {XIII}},
year = 1974,
address = {London},
pages = {531-540},
organization = {(Convegno di Gruppi e loro Rappresentazione, Roma, 1972)},
publisher = academic
}
@inproceedings{Higman74b,
author = {Graham Higman},
title = {Some nonsimplicity criteria for finite groups},
booktitle = {Proc.\ Second Internat.\ Conf.\ Theory of Groups},
year = 1974,
address = berlin,
pages = {367-376},
series = {Lecture Notes in Mathematics},
volume = 372,
organization = {(Canberra, 1973)},
publisher = springer
}
@article{Higman74c,
author = {G.\ Higman},
title = {{H}anna {N}eumann: {O}bituary},
journal = blms,
volume = 6,
pages = {99-100},
year = 1974
}
@article{Higman77,
author = {Graham Higman},
title = {Homogeneous relations},
journal = qjm2,
volume = 28,
pages = {31-39},
year = 1977
}
@inproceedings{HigmanMcKay69a,
author = {G.\ Higman and J.\ McKay},
title = {On {J}anko's simple group of order 50,232,960},
booktitle = {Theory of Finite Groups},
year = 1969,
address = {New York, Amsterdam},
pages = {65-77},
organization = {(Sympos.\ Harvard Univ., Cambridge, Mass., 1968)},
publisher = {W.A.\ Benjamin}
}
@article{HigmanMcKay69b,
author = {Graham Higman and John McKay},
title = {On {J}anko's simple group of order 50,232,960},
journal = blms,
volume = 1,
pages = {89-94},
year = 1969,
annote = {(Correction: {\it ibid} {\bf 1} (1969), 219)}
}
@article{HigmanNeumann52,
author = {Graham Higman and B.H.\ Neumann},
title = {Groups as groupoids with one law},
journal = {Publ.\ Math.\ Debrecen},
volume = 2,
pages = {215-221},
year = 1952
}
@article{HigmanNeumann54,
author = {Graham Higman and B.H.\ Neumann},
title = {On two questions of {I}t{\^o}},
journal = jlms,
volume = 29,
pages = {84-88},
year = 1954
}
@article{HigmanNeumannetal49,
author = {Graham Higman and B.H.\ Neumann and Hanna Neumann},
title = {Embedding theorems for groups},
journal = jlms,
volume = 24,
pages = {247-254},
year = 1949
}
@article{HigmanStone54,
author = {G.\ Higman and A.H.\ Stone},
title = {On inverse systems with trivial limits},
journal = jlms,
volume = 29,
pages = {233-236},
year = 1954
}
@book{HiltonStammbach71,
author = {P.J.\ Hilton and U.\ Stammbach},
title = {A Course in Homological Algebra},
publisher = {Springer-Verlag},
year = 1971,
address = {New York, Heidelberg, Berlin}
}
@article{Hirsch38a,
author = {K.A. Hirsch},
title = {On Infinite Soluble Groups {(II)}},
journal = {Proceedings of the London Mathematical Society},
volume = 44,
number = 2,
pages = {336-414},
year = 1938
}
@article{Hirsch38b,
author = {K.A. Hirsch},
title = {On Infinite Soluble Groups {(I)}},
journal = plms,
volume = 44,
number = 2,
pages = {53-60},
year = 1938
}
@article{Hirsch46,
author = {K.A. Hirsch},
title = {On Infinite Soluble Groups {(III)}},
journal = jlms,
volume = 49,
number = 2,
pages = {184-94},
year = 1946
}
@article{Hirsch52,
author = {K.A. Hirsch},
title = {On Infinite Soluble Groups {(IV)}},
journal = jlms,
volume = 27,
pages = {81-85},
year = 1952
}
@article{Hirsch54,
author = {K.A. Hirsch},
title = {On Infinite Soluble Groups {(V)}},
journal = jlms,
volume = 29,
pages = {250-251},
year = 1954
}
@article{Hobby60,
author = {Charles Hobby},
title = {The {F}rattini subgroup of a $p$-group},
journal = pacific,
volume = 10,
pages = {209-212},
year = 1960
}
@book{Hodges83,
author = {Andrew Hodges},
title = {{A}lan {T}uring. {T}he Enigma of Intelligence},
publisher = {Unwin Paperbacks},
year = 1983,
address = {London, Boston, Sydney}
}
@article{Holder93,
author = {Otto H{\"o}lder},
title = {Die {G}ruppen der {O}rdnungen $p^3$, $pq^2$, $pqr$, $p^4$},
journal = mathann,
volume = 43,
pages = {301-412},
year = 1893
}
@article{Holder95a,
author = {Otto H{\"o}lder},
title = {Bildung zusammengesetzter {G}ruppen},
journal = mathann,
volume = 46,
pages = {321-422},
year = 1895
}
@article{Holder95b,
author = {Otto H{\"o}lder},
title = {Die {G}ruppen mit quadratfreier {O}rdnungszahl},
journal = {Abh.\ Akad.\ Wiss.\ G{\"o}ttingen Math.-Phys.\ Kl.},
pages = {211-229},
year = 1895
}
@inproceedings{Holt84,
author = {D.F.\ Holt},
title = {The Calculation of the {S}chur Multiplier of a Permutation Group},
booktitle = {Computational Group Theory},
year = 1984,
address = {London, New York},
pages = {307-318},
organization = {(Durham, 1982)},
publisher = academic
}
@article{Holt85,
author = {D.F.\ Holt},
title = {A computer program for the calculation of a covering group of a finite group},
journal = jpaa,
volume = 35,
pages = {287-295},
year = 1985
}
@inproceedings{Holt95a,
author = {Derek F.\ Holt},
title = {The {W}arwick Automatic group software},
booktitle = {Geometric and Computational Perspectives on Infinite Groups},
organization = {(DIMACS, 1994)},
editor = {G. Baumslag and others},
year = 1995,
series = {Amer.\ Math.\ Soc.\ DIMACS Series},
volume = 25,
pages = {69--82},
}
@article{HoltLeedhamGreenetal96a,
author = {Derek F.\ Holt and C.R.\ Leedham-Green and
E.A.\ O'Brien and Sarah Rees},
title = {Testing Matrix Groups for Primitivity},
journal = {J.\ Algebra},
pages = {795--817},
volume = {184},
year = 1996
}
@article{HoltLeedhamGreenetal96b,
author = {Derek F.\ Holt and C.R.\ Leedham-Green and E.A.\ O'Brien and Sarah Rees},
title = {Computing Matrix Group Decompositions with respect to a Normal Subgroup},
journal = {J.\ Algebra},
volume = {184},
pages = {818--838},
year = 1996
}
@book{HoltPlesken89,
author = {Derek F.\ Holt and W.\ Plesken},
title = {Perfect Groups},
publisher = {Clarendon Press, Oxford},
year = 1989
}
@inproceedings{HoltRees92a,
author = {D.F.\ Holt and Sarah Rees},
title = {Testing for isomorphism between finitely presented groups},
booktitle = {Groups, Combinatorics and Geometry},
organization = {Durham, 1989},
year = 1992,
address = {London},
publisher = {Cambridge University Press},
series = lnlms,
volume = 165,
pages = {459-475}
}
@article{HoltRees92b,
author = {Derek F.\ Holt and Sarah Rees},
title = {An implementation of the {N}eumann--{P}raeger algorithm for the recognition of special linear groups},
journal = {J.\ Experimental Math.},
volume = 1,
pages = {237--242},
year = 1992
}
@inproceedings{HoltRees93,
author = {Derek F.\ Holt and Sarah Rees},
title = {A graphics system for displaying finite quotients of finitely presented groups},
booktitle = {Groups and Computation},
organization = {(DIMACS, 1991)},
year = 1993,
series = {Amer.\ Math.\ Soc.\ DIMACS Series},
volume = 11,
pages = {113-126}
}
@article{EickOBrien99,
author = {Bettina Eick and E.A.\ O'Brien},
title = {Enumerating $p$-groups},
journal = joz,
volume = 67,
pages = {191--205},
year = 1999
}
@article{EickLeedhamGreenetal02,
author = {Bettina Eick and C.R.\ Leedham-Green and E.A.\ O'Brien},
title = {Computing automorphism groups of $p$-groups},
journal = {Comm. Algebra},
volume = 30,
pages = {2271-2295},
year = 2002
}
@article{HoltRees94,
author = {Derek F.\ Holt and Sarah Rees},
title = {Testing modules for irreducibility},
journal = joz,
volume = 57,
pages = {1--16},
year = 1994
}
@phdthesis{How80,
author = {Guan Aun How},
title = {Some classes of monomial groups},
school = {Australian National University},
year = 1980
}
@article{HuckRosebrock92,
author= {G.\ Huck and S.\ Rosebrock},
title= {Ein verallgemeinerter {G}ewichtstest mit {A}nwendungen
auf {B}aumpraesentationen},
journal = mz,
volume = 211,
pages = {351--367},
year = 1992
}
@article{HuckRosebrock93a,
author = {G.\ Huck and S.\ Rosebrock},
title = {A bicombing that implies a sub-exponential
Isoperimetric Inequality},
journal = {Proceedings of the Edinburgh Math.~Soc.},
volume = 36,
pages = {515--523},
year = 1993
}
@inproceedings{HuckRosebrock93b,
author = {G.\ Huck and S.\ Rosebrock},
booktitle = {Two-dimensional homotopy and combinatiorial group theory},
series = lnlms,
volume = 197,
publisher = cup,
pages = {189--218},
editor = {C.~Hog-Angeloni, W.~Metzler, A.~Sieradski},
title = {Applications of diagrams to decision problems},
year = 1993
}
@inproceedings{HuckRosebrock95,
author = {G.\ Huck and S.\ Rosebrock},
booktitle = {Combinatorial and Geometric Group Theory},
editor = {A.~Duncan, N.~Gilbert, J.~Howie},
title = {Weight tests and hyperbolic groups},
series = lnlms,
address = {London},
publisher = {Cambridge University Press},
volume = 204,
pages = {174--183},
year = 1995
}
@article{Huebschmann80,
author = {J.\ Huebschmann},
title = {Crossed $n$-fold extensions of groups and cohomology},
journal = {Comm.\ Math.\ Helv.},
volume = 55,
pages = {302-313},
year = 1980
}
@article{Huebschmann81,
author = {Johannes Huebschmann},
title = {Automorphisms of Group Extensions and Differentials in the Lyndon-Hochschild-Serre spectral sequence},
journal = jalg,
volume = 72,
number = 2,
pages = {296-334},
year = 1981
}
@article{Huhro82,
author = {E.I.\ Huhro},
title = {The associated Lie ring of the free two generator groups of prime exponent and the Hughes conjecture for two generator $p$-groups},
journal = {Mat.~Sb.},
volume = 118,
pages = {567-575},
year = 1982
}
@article{HulanickiNewman63,
author = {A.\ Hulanicki and M.F.\ Newman},
title = {Existence of unrestricted direct products with one amalgamated subgroup},
journal = jlms,
volume = 38,
pages = {169-175},
year = 1963,
annote = {Corrigendum: {\it ibid} {\bf 39} (1964)}
}
@phdthesis{Hulpke96,
author = {Alexander Hulpke},
title = {Konstruktion transitiver {P}ermutationsgruppen},
year = 1996,
school = {RWTH Aachen},
}
@article{Hummel75,
author = {K.G. Hummel},
title = {The order of the automorphism group of a central product},
journal = pams,
volume = 47,
pages = {37-40},
year = 1975
}
@article{Huppert53,
author = {B.\ Huppert},
title = {{\"U}ber das Produkt von paarweise vertauschbaren zyklischen Gruppen},
journal = {Math.\ Z.},
volume = 58,
pages = {243--264},
year = 1953
}
@article{Huppert57,
author = {B.\ Huppert},
title = {Lineare aufl{\"o}sbare gruppen},
journal = mz,
volume = 67,
pages = {479-518},
year = 1957
}
@book{Huppert67,
author = {B.\ Huppert},
title = {{E}ndliche {G}ruppen {I}},
publisher = springer,
year = 1967,
volume = 134,
series = grund,
address = berlin
}
@book{HuppertBlackburn82,
author = {B.\ Huppert and N.\ Blackburn},
title = {Finite Groups {II}},
publisher = {Springer-Verlag},
year = 1982,
volume = 242,
series = grund,
address = {Berlin, Heidelberg, New York}
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@article{Hurley91,
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AUTHOR = {M.F. Newman and Michael Vaughan-Lee},
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JOURNAL = {Electron. Res. Announc. Amer. Math. Soc.},
FJOURNAL = {Electronic Research Announcements of the American Mathematical
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VOLUME = {4},
YEAR = {1998},
PAGES = {1--3 (electronic)},
ISSN = {1079-6762},
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SERIES = {Contemp. Math.},
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