Eamonn O'Brien - Papers

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e.obrien@auckland.ac.nz
Last updated: September 2017


The p-group generation algorithm
J. Symbolic Comput. 9, 677-698.
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The groups of order 256
J. Algebra 143, 219-235, 1991.
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Isomorphism testing for p-groups
J. Symbolic Comput. 17, 133-147, 1994.
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The fixity of groups of prime-power order
with M.F. Newman, Aner Shalev
Bull. London Math. Soc. 27 (2), 225-231, 1995.
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Generating random elements of a finite group
with Frank Celler, C.R. Leedham-Green, Scott H. Murray, Alice C. Niemeyer
Comm. Algebra 23, 4931-4948, 1995.
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Testing primitivity for matrix groups
with Derek F. Holt, C.R. Leedham-Green, Sarah Rees
J. Algebra 184 (3), 795-817, 1996.
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Computing decompositions for modules with respect to a normal subgroup
with Derek F. Holt, C.R. Leedham-Green, Sarah Rees
J. Algebra 184 (3), 818-838, 1996.
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Groups of deficiency zero
with George Havas, M.F. Newman
Geometric and Computational Perspectives on Infinite Groups, Amer. Math. Soc. DIMACS Series25, (DIMACS, 1994), pp. 53-67.
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Application of computers to questions like those of Burnside, II
with M.F. Newman
Internat. J. Algebra Comput. 6, 593-605, 1996.
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Tensor Products are Projective Geometries
with C.R. Leedham-Green
J. Algebra 189, 514-528, 1997.
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Recognising tensor products of matrix groups
with C.R. Leedham-Green
Internat. J. Algebra Comput. 7, 541-559, 1997.
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Classifying 2-groups using coclass
with M.F. Newman
Trans. Amer. Math. Soc. 351, 131-169, 1999.
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A local strategy to decide the Alperin and Dade conjectures
with Jianbei An
J. Algebra 206, 183-207, 1998.
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Certain cyclically presented groups are isomorphic
with A.C. Kim, D.L. Johnson
Comm. Algebra 27, 3531-3536, 1999.
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2-generator arithmetic Kleinian groups III
with M.D.E. Conder, C. Maclachlan, G.J. Martin
Math. Scand. 90, 161-179, 2002.
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The Alperin and Dade conjectures for the Fischer simple group Fi23
with Jianbei An
Internat. J. Algebra Comput. 6, 621-670, 1999.
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Enumerating p-groups
with Bettina Eick
J. Austral. Math. Soc. Ser. A67, 191-205, 1999.
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Computing 2-cocycles for central extensions and relative difference sets
with Dane Flannery
Comm. Alg. 28, 1935-1955, 2000.
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The Alperin and Dade conjectures for the O'Nan and Rudvalis simple groups
with Jianbei An
Comm. Alg. 30, 1305-1348, 2002.
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The groups of order at most 2000
with Hans Ulrich Besche, Bettina Eick
Electron. Research Announc. Amer. Math. Soc. 7, 1-4, 2001.
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A millennium project: constructing small groups
with Hans Ulrich Besche, Bettina Eick
Internat. J. Algebra Comput. 12 (5), 623-644, 2002.
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Constructing automorphism groups of p-groups
with Bettina Eick, C.R. Leedham-Green
Comm. Algebra 30, 2271-2295, 2002.
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Recognising tensor-induced matrix groups
with C.R. Leedham-Green
J. of Algebra 253, 14-30, 2002.
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The 2-generator restricted Burnside group of exponent 7
with M.R. Vaughan-Lee
Internat. J. Algebra Comput. 12, 575-592, 2002.
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The Alperin weight conjecture and Dade's conjecture for the simple group J4
with Jianbei An, R.A. Wilson
LMS JCM 6, 119-1140. [This paper is available from http://www.lms.ac.uk/jcm/6/lms2003-003]
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Conjectures on character degrees for the Harada-Norton simple group HN
with Jianbei An
Israel J. Math. 137, 157-181, 2003.
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On the efficiency of some finite groups
with M.F. Newman, George Havas
Comm. Algebra 32, 649-656, 2004.
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Groups and nilpotent Lie Rings whose order is the sixth power of a prime
with M.F. Newman, M.R. Vaughan-Lee
J. Algebra 278, 383-401, 2004.
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The groups of order p7 for odd prime p
with M.R. Vaughan-Lee
J. Algebra 292, 243-258, 2005
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Linear groups of small degree over finite fields
with Dane Flannery
Internat. J. Algebra Comput. 15, 467-502, 2005.
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The Alperin and Dade conjectures for the Fischer simple group Fi22
with Jianbei An
Comm. Algebra 33, 1529-1557, 2005.
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The Alperin and Dade conjectures for the Conway simple group Co1
with Jianbei An
Algebras and Representation Theory 7, 139-158, 2004.
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Constructive recognition of PSL(2, q)
with M.D.E. Conder, C.R. Leedham-Green
Trans. Amer. Math. Soc. 358, 1203-1221, 2006.
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Writing projective representations over subfields
with S.P. Glasby, C.R. Leedham-Green
J. Algebra 295, 51-61, 2006.
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Towards effective algorithms for linear groups
Finite Geometries, Groups and Computation, (Colorado), September 2004, 163--190, 2006.
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Certain Roman and flock generalized quadrangles have nonisomorphic elation groups
with George Havas, C.R. Leedham-Green, Michael C. Slattery
Advances in Geometry 6, 385--396, 2006.
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Not every p-group can be generated by elements of the same order
with Carlo M. Scoppola, M.R. Vaughan-Lee
Proc. Amer. Math. Soc. 134, 3457--3464, 2006.
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Constructive recognition of SL3(q)
with Frank Luebeck, Kay Magaard
J. Algebra 316, 619--633, 2007.
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A computer-assisted analysis of some matrix groups
with Derek F. Holt
J. Algebra 300, 199--212, 2006.
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The automorphism group of a binary self-dual doubly-even [72,36,16] code is solvable
with Stefka Bouyuklieva, Wolfgang Willems
IEEE Trans. Inform. Theory 52, 4244--4247, 2006.
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The class breadth conjecture revisited
with Bettina Eick, M.F. Newman
Journal of Algebra 300, 384--393, 2006.
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Finding the characteristic of a group of Lie type
with Martin W. Liebeck
J. Lond. Math. Soc. 75, 741--754, 2007.
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On intersections of classical groups
with Peter A. Brooksbank
J. Group Theory 11, 465--478, 2008.
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Constructing the group preserving a system of forms
with Peter A. Brooksbank
Internat. J. Algebra Comput. 18, 227--241, 2008.
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Counting groups: gnus, moas and other exotica
with John H. Conway, Heiko Dietrich
Math. Intelligencer 30, 6--15, 2008.
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Constructive membership in black-box groups
with P.E. Holmes, S.A. Linton, A.J.E. Ryba, R.A. Wilson
J. Group Theory 11, 747--763, 2008.
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On p-groups having the minimal number of conjugacy classes of maximal size
with A. Jaikin-Zapirain, M.F. Newman
Israel J. Math. 172, 119--123, 2009.
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Base sizes for sporadic simple groups
with Timothy C. Burness, Robert A. Wilson
Israel J. Math.177, 307--334, 2010.
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The Alperin weight conjecture and Dade's conjecture for the simple group Fi'24
with Jianbei An, John J. Cannon, W.R. Unger
LMS JCM 11, 100-145. [This paper is available from http://www.lms.ac.uk/jcm/11/lms2007-003]
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Constructive recognition of classical groups in odd characteristic
with C.R. Leedham-Green
Journal of Algebra 322, 833-881, 2009
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Recognition of small dimensional representations of general linear groups
with Kay Magaard, Akos Seress
J. Aust. Math. Soc. 85 , 229--250, 2008.
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On some questions about a family of cyclically presented groups
with Alberto Cavicchioli, Fulvia Spaggiari
J. Algebra 320, 4063--4072, 2008.
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Short presentations for alternating and symmetric groups
with J.N. Bray, M.D.E. Conder, C.R. Leedham-Green
Trans. Amer. Math. Soc. 363, 3277--3285, 2011.
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Deciding finiteness of matrix groups in positive characteristic
with A.S. Detinko, D.L. Flannery
J. Algebra 322, 4151--4160, 2009.
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The Ore Conjecture
with Martin W. Liebeck, Aner Shalev, Pham Huu Tiep
J. European Math. Soc. 12, 939--1008, 2010.
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Algorithms for matrix groups
Groups St Andrews 2009 in Bath, LMS Lecture Notes 388, 297--323, 2011.
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Finite 3-groups of class 3 whose elements commute with their automorphic images
with A. Abdollahi, A. Faghihi, S.A. Linton
Archiv der Mathematik 95, 1--7, 2010.
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Products of squares in finite simple groups
with Martin W. Liebeck, Aner Shalev, Pham Huu Tiep
Proc. Amer. Math. Soc. 140, 21--33, 2012.
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On the automorphism group of a binary self-dual doubly-even [72,36,16] code
with Wolfgang Willems
IEEE Trans. Inform. Theory 57, 4445 - 4451, 2011.
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Commutators in finite quasisimple groups
with Martin W. Liebeck, Aner Shalev, Pham Huu Tiep
Bull. London Math. Soc. 43, 1079--1092, 2011.
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Orbit invariants and an application to the Baby Monster
with Max Neunhoeffer, Felix Noeske, R.A. Wilson
J. Algebra 341, 297--305, 2011
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On the classification of groups of prime-power order by coclass: The 3-groups of coclass 2
with Bettina Eick, C.R. Leedham-Green, M.F. Newman
Internat. J. Algebra Comput. 23, 1243--1288, 2013
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Algorithms for the Tits Alternative and related problems
with A.S. Detinko, D.L. Flannery
J. Algebra 344, 397--406, 2011.
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Recognizing finite matrix groups over infinite fields
with A.S. Detinko, D.L. Flannery
J. Symbolic Comput. 50, 100--109, 2013.
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Some word maps that are non-surjective on infinitely many finite simple groups
with Sebastian Jambor, Martin W. Liebeck
Bull. Lond. Math. Soc. 45, 907--910, 2013.
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Constructive recognition of classical groups in even characteristic
with Heiko Dietrich, C.R. Leedham-Green, Frank Luebeck
Journal of Algebra 391, 227-255, 2013
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Algorithms for linear groups of finite rank
with A.S. Detinko, D.L. Flannery
J. Algebra 393, 187-196, 2013.
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Enumerating classes and characters of p-groups
with Christopher Voll
Trans. Amer. Math. Soc. 367, 7775--7796, 2015.
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A practical model for computation with matrix groups
with Henrik Baarnhielm, Derek F. Holt, C.R. Leedham-Green
J. Symbolic Comput. 68, 460--492, 2015.
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On the uniqueness of the generalized octagon of order (2,4)
with Arjeh M. Cohen, Sergey Shpectorov
Journal of Algebra 421, 363--393, 2015.
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Effective black-box constructive recognition of classical groups
with Heiko Dietrich, C.R. Leedham-Green
Journal of Algebra 421, 460--492, 2015.
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Recognition of finite exceptional groups of Lie type
with Martin W. Liebeck
Trans. Amer. Math. Soc. 368, 6189--6226, 2016.
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Regular orbits of symmetric and alternating groups
with Joanna B. Fawcett, Jan Saxl
J. Algebra 458, 21--52, 2016.
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Code loops in dimension at most 8
with Petr Vojtěchovský
J. Algebra 473, 607--626, 2017.
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Reliability and reproducibility of Atlas information
with Thomas Breuer, Gunter Malle
Finite Simple Groups: Thirty Years of the Atlas and Beyond, Contemporary Mathematics 694, 21--32, 2017.
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Unipotent class representatives for finite classical groups
with Samuel Gonshaw, Martin W. Liebeck
J. Group Theory 20, 505--525, 2017.
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Last updated: September 2017

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