PUBLICATIONS BY MARSTON CONDER 1980-
1. Generators for alternating and symmetric groups,
Journal of the London Mathematical Society (2) 22 (1980), 75-86.
2. More on generators for alternating and symmetric groups,
Quarterly Journal of Mathematics (Oxford) Ser.2 32 (1981), 137-163.
3. On the group of Rubik's "magic" cube,
Bulletin of the Institute of Mathematics & its Applications 17 (1981),
241-243.
4. Some results on quotients of triangle groups,
Bulletin of the Australian Mathematical Society 30 (1984), 73-90.
5. The symmetric genus of alternating and symmetric groups,
Journal of Combinatorial Theory, Series B 39 (1985), 179-186.
6. A family of Hurwitz groups with non-trivial centres,
Bulletin of the Australian Mathematical Society 33 (1986), 123-130.
7. A note on Cayley graphs,
Journal of Combinatorial Theory, Series B 40 (1986), 362-368.
8. A note on maximal automorphism groups of compact Riemann surfaces,
Indian Journal of Pure & Applied Mathematics 17 (1986), 58-60.
9. Hurwitz groups with arbitrarily large centres,
Bulletin of the London Mathematical Society 18 (1986), 269-271.
10. The genus of compact Riemann surfaces with maximal automorphism group,
Journal of Algebra 108 (1987), 204-247.
11. A new 5-arc-transitive cubic graph,
Journal of Graph Theory 11 (1987), 303-307.
12. Three-relator quotients of the modular group,
Quarterly Journal of Mathematics (Oxford) Ser.2 38 (1987), 427-447.
13. Groups of minimal genus: including C_2 extensions of PSL(2,q) for
certain q, Quarterly Journal of Mathematics (Oxford) Ser.2 38 (1987),
449-460.
14. Maximal automorphism groups of symmetric Riemann surfaces with small
genus, Journal of Algebra 114 (1988), 16-28.
15. (With John McKay) A necessary condition for transitivity of a finite
permutation group, Bulletin of the London Mathematical Society
20 (1988), 235-238.
16. On the group G^{6,6,6},
Quarterly Journal of Mathematics (Oxford) Ser.2 39 (1988), 175-183.
17. An infinite family of 5-arc-transitive cubic graphs,
Ars Combinatoria 25A (1988), 95-108.
18. Reidemeister-Schreier in disguise,
Ars Combinatoria 26A (1988), 73-84.
19. Constructing symmetric graphs,
Theta 3 (1989), 11-16.
20. (With Peter Lorimer) Automorphism groups of symmetric graphs of
valency 3,
Journal of Combinatorial Theory, Series B 47 (1989), 60-72.
21. An infinite family of 4-arc-transitive graphs each with girth 12,
Bulletin of the London Mathematical Society 21 (1989), 375-380.
22. Bernhard Hermann Neumann,
The New Zealand Mathematical Society Newsletter 47 (1989), 20-22.
23. A surprising isomorphism, Journal of Algebra 129 (1990), 494-501.
24. Hurwitz groups: a brief survey,
Bulletin of the American Mathematical Society 23 (1990), 359-370.
25. (With Margaret Morton) A note on groups associated with 4-arc-transitive
cubic graphs, Bulletin of the London Mathematical Society 22 (1991),
553-560.
26. A question by Graham Higman concerning quotients of the (2,3,7) triangle
group, Journal of Algebra 141 (1991), 275-286.
27. Random walks in large finite groups,
Australasian Journal of Combinatorics 4 (1991), 49-57.
28. Experimental algebra, Mathematical Chronicle 20 (1991), 1-11.
29. The symmetric genus of the Mathieu groups,
Bulletin of the London Mathematical Society 23 (1991), 445-453.
30. (With Edmund Robertson & Peter Williams) Presentations for 3-dimensiona
special linear groups over integer rings, Proceedings of the American
Mathematical Society 115 (1992), 19-26.
31. Modern applications of mathematics, N.Z. Mathematics Magazine
28 (1992), 17-20.
32. Schreier coset graphs and their applications,
RIMS Kokyuroku 794 (1992), 169-175.
33. (With Ravi Kulkarni) Infinite families of automorphism groups of
Riemann surfaces, Groups & Geometry (London Math. Society Lecture Note
Series,vol. 173), 1992, pp. 47-56.
34. (With Robert Wilson & Andrew Woldar) The symmetric genus of sporadic
simple groups,
Proceedings of the American Mathematical Society 116 (1992), 653-663.
35. Group actions on the cubic tree,
Journal of Algebraic Combinatorics 1 (1992), 209-218.
36. Generating the Mathieu groups and associated Steiner systems,
Discrete Mathematics 112 (1993), 41-47.
37. Hexagon-free subgraphs of hypercubes,
Journal of Graph Theory 17 (1993), 477-479.
38. (With Paul Hafner) Fermat's Last Theorem proved by Andrew Wiles,
N.Z. Mathematics Magazine 17 (1993), 5-6.
39. (With Chris Godsil) The symmetric group as a polynomial space,
Combinatorial and Graph-Theoretic Problems in Linear Algebra, The I.M.A.
Volumes in Mathematics & its Applications, vol. 50 (Springer-Verlag),
1993, pp. 219-227.
40. (With Robert Wilson & Andrew Woldar) The symmetric genus of sporadic
simple groups: announced results, Coding Theory, Design Theory, Group
Theory (Wiley), 1993, pp. 163-169.
41. (With Gaven Martin) Cusps, triangle groups and hyperbolic 3-folds,
Journal of the Australian Mathematical Society 55 (1993), 149-182.
42. (With Colin Campbell \& Edmund Robertson) Defining-relations for Hurwitz
groups, Glasgow Math. Journal 36 (1994), 363-370.
43. Dense networks with no small circuits, in: Proceedings of Salodays in
Auckland (Department of Computer Science, University of Auckland), 1994,
pp. 33-34.
44. Regular maps with small parameters,
Journal of the Australian Mathematical Society 57 (1994), 103-112.
45. Pure mathematics: an art? or an experimental science?,
N.Z. Science Review 51 (1994), 99-102.
46. Two-element generation of the finite reflection groups,
Quarterly Journal of Mathematics (Oxford) 46 (1995), 95-106.
47. (With Jianbei An) The Alperin and Dade conjectures for the simple
Mathieu groups, Commmunications in Algebra 23 (1995), 2797-2823.
48. (With Margaret Morton) Classification of trivalent symmetric graphs of
small order, Australasian Journal of Combinatorics 11 (1995), 139-149.
49. (With Jianbei An) On the numbers of 2-weights, unipotent conjugacy
classes, and irreducible Brauer 2-characters of finite classical groups,
Proceedings of the American Mathematical Society 123 (1995), 2297-2304.
50. (With Peter Lorimer & Cheryl Praeger) Constructions for arc-transitive
digraphs, Journal of the Australian Mathematical Society 59 (1995),
61-80.
51. (With Brent Everitt) Regular maps on non-orientable surfaces,
Geometriae Dedicata 56 (1995), 209-219.
52. Semi-automated theorem proving -- the impact of computers on research
in pure mathematics, in: Proceedings of the First Asian Technology
Conference in Mathematics (Singapore, December 1995), pp. 1-8.
53. (With Brian Alspach, Dragan Marusic & Xu Ming-Yao) A classification of
2-arc-transitive circulants, Journal of Algebraic Combinatorics
5(1996), 83-86.
54. (With Cheryl Praeger) Remarks on path-transitivity in finite graphs,
European Journal of Combinatorics 17 (1996), 371-378.
55. Asymmetric combinatorially-regular maps,
Journal of Algebraic Combinatorics 5 (1996), 323-328.
56. (With John McKay) Markings of the Golay code,
New Zealand Journal of Mathematics 25 (1996), 133-139.
57. (With Margaret Morton & Cheryl Praeger) Partition graphs for symmetric
groups, Journal of Graph Theory 25 (1997), 107-117.
58. Small trivalent graphs of large girth, University of Auckland
Centre for Discrete Mathematics and Theoretical Computer Science
Research Report Series, No.42, 1997.
59. (With Cameron Walker) Sierpinski's gasket, 2-groups and graph symmetries,
in: Combinatorics, complexity, & logic (Auckland, 1996), Springer Ser.
Discrete Math. Theor. Comput. Sci., Springer (Singapore), 1997, pp.182-186.
60. (With Cameron Walker) Vertex-transitive non-Cayley graphs with
arbitrarily large vertex-stabilizer, J. Algebraic Combinatorics
8 (1998), 29-38.
61. (With Cameron Walker) The infinitude of 7-arc-transitive quartic
graphs, Journal of Algebra 208 (1998), 619-629.
62. (With Cai Heng Li) On isomorphism of finite Cayley graphs,
European J. Combinatorics 19 (1998), 911-919.
63. Explicit definition of the reflected binary Gray codes,
Discrete Mathematics 195 (1999), 245-249.
64. (With Emilio Bujalance) On cyclic groups of automorphisms of Riemann
surfaces, J. London Mathematical Society 59 (1999), 573-584.
65. (With Cai Heng Li & Cheryl Praeger) On a conjecture of Richard Weiss,
Proc. Edinburgh Math. Society 43 (2000), 129-138.
66. (With Charles Leedham-Green) Fast recognition of classical groups
over large fields, Proceedings of Conference on Groups and Computation
III (Columbus, Ohio, 1999), de Gruyter, 2000, pp. 113-121.
67. (With Peter Dobcsanyi) Determination of all regular maps of small
genus, J. Combinatorial Theory, Series B 81 (2001), 224-242.
68. (With Colin Maclachlan, Gaven Martin & Eamonn O'Brien)
Two-generator arithmetic Kleinian groups III,
Math. Scandinavia 90 (2002), 161-179.
69. (With Emilio Bujalance, Jose Manuel Gamboa, Grzegorz Gromadzki &
Milagros Izquierdo) Double coverings of Klein surfaces by a given
Riemann surface, J. Pure & Applied Algebra 169 (2002), 137-151.
70. (With Peter Dobcsanyi) Trivalent symmetric graphs on up to 768 vertices,
J. Combinatorial Mathematics & Combinatorial Computing 40 (2002),
41-63.
71. (With Paul Bonnington, Patricia McKenna & Margaret Morton)
Embeddings of regular digraphs in orientable surfaces,
J. Combinatorial Theory Series B 85 (2002), 1-20.
72. Hurwitz groups with given centre,
Bulletin of the London Mathematical Society 34 (2002), 725-728.
73. (With Emilio Bujalance & Javier Cirre)
On extendability of group actions on compact Riemann surfaces,
Transactions of the American Mathematical Society 355 (2003), 1537-1557.
74. (With Margaret Morton & Cheryl Praeger) Two-arc closed subsets of
graphs, Journal of Graph Theory 42 (2003), 350-364.
75. (With Dragan Marusic) A tetravalent half-arc-transitive graph with
nonabelian vertex stabilizer,
J. Combinatorial Theory Series B 88 (2003), 67-76.
76. (With Colin Maclachlan, Sanja Todorovic Vasiljevic and Steve Wilson)
Bounds for the number of automorphisms of a compact non-orientable
surface, Journal of the London Mathematical Society 68 (2003), 65-82.
77. Group actions on graphs, maps and surfaces with maximum symmetry,
invited paper in: Groups St Andrews 2001 in Oxford, London Math. Soc.
Lecture Note Series, vol. 304, Cambridge University Press, 2003,
pp. 63-91.
78. (With Marty Isaacs) Derived subgroups of products of an abelian
and a cyclic subgroup, Journal of the London Mathematical Society
69 (2004), 333-348.
79. (With Arkadii Slinko) A counterexample to Fishburn's conjecture on
finite linear qualitative probability,
Journal of Mathematical Psychology 48 (2004), 425-431.
80. (With Peter Dobcsanyi) Applications and adaptations of the low
index subgroups procedure, Mathematics of Computation 74 (2005),
485-497.
81. (With Colin Maclachlan) Compact hyperbolic 4-manifolds of small volume,
Proceedings of the American Mathematical Society 133 (2005), 2469-2476.
82. (With Aleksander Malnic, Dragan Marusic, Tomaz Pisanski and Primoz Potocnik)
The edge- but not vertex-transitive cubic graph on 112 vertices,
Journal of Graph Theory 50 (2005), 25-42.
83. (With Charles Leedham-Green and Eamonn O'Brien) Constructive
recognition of PSL(2,q), Transactions of the American Mathematical
Society 358 (2006), 1203-1221.
84. (With Vaughan Jones) Highly transitive imprimitivities,
Journal of Algebra 300 (2006), 44-56.
85. (With Gaven Martin and Anna Torstensson) Maximal symmetry groups of
hyperbolic 3-manifolds, New Zealand Journal of Mathematics 35 (2006),
37-62.
86. (With Aleksander Malnic, Dragan Marusic and Primoz Potocnik)
A census of semisymmetric cubic graphs on up to 768 vertices,
Journal of Algebraic Combinatorics 23 (2006), 255-294.
87. (With George Havas and Colin Ramsay) Efficient presentations for
the Mathieu simple group M_{22} and its cover, in:
Finite Geometries, Groups and Computation (Pingree Park CO, September 2004),
de Gruyter, 2006, pp. 33-41.
88. (With Steve Wilson) Inner reflectors and non-orientable regular maps,
Discrete Mathematics 307 (2007), 367-372.
89. (With Robert Jajcay and Tom Tucker) Regular t-balanced Cayley maps,
Journal of Combinatorial Theory Series B 97 (2007), 453-473.
90. (With Robert Jajcay and Tom Tucker) Regular Cayley maps for finite
abelian groups, Journal of Algebraic Combinatorics 25 (2007), 259-283.
91. (With Peter Dobcsanyi) Normal subgroups of low index in the modular
group and other Hecke groups, in: "Combinatorial Group Theory, Number Theory
and Discrete Groups", (ed. B. Fine, A. Gaglione & D. Spellman), Contemporary
Mathematics series, American Mathematical Society, vol. 421, 2007, pp. 65-86.
92. (With Robin Christian and Arkadii Slinko) Flippable pairs and subset
comparisons in comparative probability orderings, Order 24 (2007),
193-213.
93. (With Roman Nedela) Symmetric cubic graphs of small girth,
Journal of Combinatorial Theory Series B 97 (2007), 757-768.
94. (With Simon Marshall and Arkadii Slinko) Orders on multisets
and discrete cones, Order 24 (2007), 277-296.
95. (With Isabel Hubard and Tomaz Pisanski) Constructions for chiral
polytopes, J. London Mathematical Society 77 (2008), 115-129.
96. Genus spectra for symmetric embeddings of graphs on surfaces,
Electronic Notes in Discrete Mathematics 31 (2008), 27-31.
97. (With Dominic Searles and Arkadii Slinko) Comparative probability
orders and the flip relation, Proceedings of the Fifth International
Symposium On Imprecise Probability: Theories And Applications
(ISIPTA'07), Prague, 2007, SIPTA, 2008, pp. 67-76.
98. Combinatorial and computational group-theoretic methods in the study
of graphs, maps and polytopes with maximal symmetry, in:
"Applications of Group Theory to Combinatorics" (ed. J. Koolen, J.H. Kwak
& M.Y. Xu), Taylor & Francis, London, 2008, pp. 1-11.
99. (With Primoz Potocnik and Jozef Siran) Regular hypermaps over
projective linear groups, Journal of the Australian Mathematical Society
85 (2008), 155-175.
100. Regular maps and hypermaps of Euler characteristic -1 to -200,
Journal of Combinatorial Theory, Series B, 99 (2009), 455-459.
101. (With Young Soo Kwon and Jozef Siran) Reflexibility of regular Cayley
maps for abelian groups, Journal of Combinatorial Theory, Series B,
99 (2009), 254-260.
102. On symmetries of Cayley graphs and the graphs underlying regular maps,
Journal of Algebra 321 (2009), 3112-3127.
103. (With Roman Nedela) A refined classification of symmetric cubic graphs,
Journal of Algebra 322 (2009), 722-740.
104. (With Robert Gentleman and Alain Vandal) Minimal covers of maximal cliques
for interval graphs, Ars Combinatoria 92 (2009), 97-129.
105. (With Jozef Siran and Tom Tucker) The genera, reflexibility and
simplicity of regular maps, Journal of the European Mathematical Society
12 (2010), 343-364.
106. (With Emilio Bujalance and Antonio Costa) Pseudo-real Riemann surfaces
and chiral regular maps, Transactions of the American Mathematical Society
7 (2010), 3365-3376.
107. An update on Hurwitz groups, Groups, Complexity and Cryptology 2 (2010),
35-49.
108. (With Primoz Potocnik and Jozef Siran) Regular maps with almost
Sylow-cyclic automorphism groups, and classification of regular maps
with Euler characteristic -p^2, Journal of Algebra 324 (2010), 2620-2635.
109. (With Emilio Bujalance, Javier Cirre and Blazej Szepietowski)
Finite group actions on bordered surfaces of small genus,
Journal of Pure and Applied Algebra 214 (2010), 2165-2185.
110. (With Geoffrey Exoo and Robert Jajcay) On the limitations of the use of
solvable groups in Cayley graph cage constructions, European Journal
of Combinatorics 31 (2010), 1819-1828.
111. (With Domenico Catalano, Shao Fei Du, Young Soo Kwon, Roman Nedela and
Steve Wilson) Classification of regular embeddings of n-dimensional cubes,
Journal of Algebraic Combinatorics 33 (2011), 215-238.
112. (With Charles Leedham-Green and Eamonn O'Brien) Short presentations
for alternating and symmetric groups, Transactions of the American
Mathematical Society 363 (2011), 3277-3285.
113. (With Tom Tucker) Motion and distinguishing number two,
Ars Mathematica Contemporanea 4 (2011), 63-72.
114. (With George Havas and Mike Newman) On one-relator quotients of the modular
group, Groups St Andrews 2009 in Bath (proceedings), vol. 1,
London Math. Society Lecture Note Series, No. 387, Cambridge University Press,
pp. 183-197.
115. (With Tom Tucker) The symmetric genus spectrum of finite groups,
Ars Mathematica Contemporanea 4 (2011), 271-289.
116. (With Roman Nedela and Jozef Siran) Classification of regular maps
of Euler Characteristic -3p, Journal of Combinatorial Theory, Series B
102 (2012), 967-981.
117. (With Yan-Quan Feng) Arc-regular cubic graphs of order four times an
odd integer, Journal of Algebraic Combinatorics 36 (2012), 21-31.
118. (With Emilio Bujalance and Javier Cirre) Finite group actions of large
order on compact bordered surfaces, in: Computational Algebraic and Analytic
Geometry for Low-dimensional Varieties, Contemp. Math., 572, Amer. Math. Soc.,
Providence, RI, 2012, pp. 25-56.
119. (With F.R. Cohen, J. Lopez and Stratos Prassidis) Remarks concerning
Lubotzky's filtration, Pure and Applied Math. Quarterly 8 (2012), 79-105.
120. (With Gareth Jones, Manfred Streit and Juergen Wolfart) Galois actions
on regular dessins of small genera, Revista Matematica Iberoamericana
29 (2013), 163-181.
121. The smallest regular polytopes of given rank,
Advances in Mathematics 236 (2013), 92-110.
122. (With Emilio Bujalance and Javier Cirre) Extensions of finite cyclic
group actions on non-orientable surfaces, Transactions of the American
Mathematical Society 365 (2013), 4209-4227.
123. (With Deborah Oliveros) The intersection condition for regular polytopes,
Journal of Combinatorial Theory Series A 120 (2013), 1291-1304.
124. (With Jicheng Ma) Arc-transitive abelian regular covers of cubic graphs,
Journal of Algebra 387 (2013), 215-242.
125. (With Jicheng Ma) Arc-transitive abelian regular covers of the Heawood
graph, Journal of Algebra 387 (2013), 243-267.
126. (With Timothy Reilly) Graham Higman's lectures on januarials,
Quarterly Journal of Mathematics (Oxford) 65 (2014), 113–131.
127. (With Tom Tucker) Regular Cayley maps for cyclic groups,
Transactions of the American Mathematical Society 366 (2014), 3585–3609.
[Note: The first sentence of the statement of Theorem 3.5 in the above
paper [127] is incorrect and should be deleted, as should the first two
sentences of the proof. The second sentence, which was the main point of
the theorem, is correct and summarises the discussion after Corollary 3.3.]
128. (With Dan Archdeacon and Jozef Siran) Trinity symmetry and kaleidoscopic
regular maps, Transactions of the American Mathematical Society
366 (2014), 4491-4512.
129. (With Tomaz Pisanski and Arjana Zitnik) GI-graphs: a new class of graphs
with many symmetries, Journal of Algebraic Combinatorics 40 (2014), 209-231.
130. (With Young Soo Kwon and Jozef Siran) On external symmetry groups of
regular maps, in: "Rigidity and Symmetry" (ed. Robert Connelly, Asia Ivic
Weiss and Walter Whiteley), Fields Institute Communications, vol, 70,
Springer, 2014, pp. 87-96.
131. Large group actions on surfaces, in: "Riemann and Klein Surfaces,
Automorphisms, Symmetries and Moduli Spaces", Contemporary Mathematics,
vol, 629 (2014), pp. 77-97.
132. (With Bruno Zimmermann) Maximal bordered surface groups versus maximal
handlebody groups, in: "Riemann and Klein Surfaces, Automorphisms,
Symmetries and Moduli Spaces", Contemporary Mathematics, vol, 629 (2014),
pp. 99-105.
133. (With Gabe Cunningham) Tight orientably-regular polytopes,
Ars Mathematica Contemporanea 8 (2015), 68-81.
134. (With Primoz Potocnik and Primoz Sparl) Some recent discoveries about
half-arc-transitive graphs, Ars Mathematica Contemporanea 8 (2015),
149-162.
135. (With Caiheng Li and Primoz Potocnik) On the orders of arc-transitive
graphs, Journal of Algebra (Seress memorial issue) 421 (2015), 167-186.
136. (With Jicheng Ma) Regular maps with simple underlying graphs,
Journal of Combinatorial Theory Series B, 110 (2015), 1-18.
137. (With Emilio Bujalance and Javier Cirre) Extensions of finite cyclic
group actions on bordered surfaces, Revista Matematica Iberoamericana
31 (2015), 349-372.
138. (With Ricardo Grande) On embeddings of circulant graphs,
Electronic Journal of Combinatorics 22 (2015), #P2.28.
139. (With Isabel Hubard, Eugenia O'Reilly Regueiro and Daniel Pellicer)
Construction of chiral 4-polytopes with an alternating or symmetric
group as automorphism group, J. Algebraic Combinatorics 42 (2015), 225-244.
140. (With Emilio Bujalance and Javier Cirre) Riemann surfaces with maximal
real symmetry, Journal of Algebra 443 (2015), 494-516.
141. (With Arjana Zitnik) Half-arc-transitive graphs of arbitrary even valency
greater than 2, European Journal of Combinatorics 54 (2016), 177-186.
142. (With Robert Jajcay and Tom Tucker) Cyclic complements and skew morphisms
of groups, Journal of Algebra 453 (2016), 68-100.
143. (With Veronika Hucikova, Roman Nedela and Jozef Siran) Chiral maps of
given hyperbolic type, Bulletin of the London Math. Society 48 (2016), 38-52.
144. Some unexpected consequences of symmetry computations, in: "Symmetries in
Graphs, Maps and Polytopes" (proceedings of the 5th SIGMAP workshop, 2014),
Springer Proceedings in Mathematics & Statistics, vol. 159, 2016, pp. 71-79.
145. (With Martin Bridson and Alan Reid) Determining Fuchsian groups by their
finite quotients, Israel Journal of Mathematics 214 (2016), 1-41.
146. (With Shaofei Du, Roman Nedela and Martin Skoviera) Regular maps with
nilpotent automorphism group, J. Algebraic Combinatorics 44 (2016), 863-874.
[Free viewable copy available at http://rdcu.be/no5R (thanks to Springer)]
147. (With Jozef Siran) Orientably-regular maps with given exponent group,
Bulletin of the London Math. Society 48 (2016), 1013-1017.
148. (With Emilio Bujalance and Javier Cirre) On automorphism groups of
Riemann double covers of Klein surfaces, Journal of Algebra 472 (2017), 146-171.
149. (With Tomaz Pisanski and Arjana Zitnik) Vertex-transitive graphs and
their arc-types, Ars Mathematica Contemporanea 12 (2017), 383-413.
150. (With Wei-Juan Zhang) Abelian covers of chiral polytopes,
Journal of Algebra 478 (2017), 437-457.
151. Answer to a 1962 question by Zappa on cosets of Sylow subgroups,
Advances in Mathematics 313 (2017), 167-175.
152. (With Wei-Juan Zhang) The smallest chiral 6-polytopes,
Bulletin of the London Math. Society 49 (2017), 549-560.
153. (With Adnan Melekoglu) Link indices of Hurwitz maps,
Journal of Algebra 490 (2017), 568-580.
154. On a family of groups defined by Said Sidki,
Bulletin of the London Math. Society 50 (2018), 26-34.
155. (With Nemanja Poznanovic) The arc-types of Cayley graphs,
Ars Mathematica Contemporanea 15 (2018), 97-112.
156. (With Antoine Deza and Asia Ivic Weiss) Discrete Geometry and Symmetry,
edited book, Springer Proceedings in Mathematics & Statistics, vol. 234,
Springer, 2018, xxiii+333 pages.
157. (With Istvan Estelyi and Tomaz Pisanski) Vertex-transitive Haar graphs
that are not Cayley graphs, in: Discrete Geometry and Symmetry, Springer
Proceedings in Mathematics & Statistics, vol. 234, 2018, pp. 61-70.
158. (With Emilio Bujalance, Antonio Costa and Milagros Izquierdo) On regular
dessins d'enfants with 4g automorphisms and a curve of Wiman, accepted,
to appear in "Algebraic Curves and Cryptography", AMS Contemp. Math. series.
159. Local actions of simple groups on symmetric graphs, accepted,
to appear in 2007 MATRIX Annals, MATRIX Book Series, Volume 2, Springer.
160. (With Jia-Li Du and Yan-Quan Feng) Cubic core-free symmetric m-Cayley graphs,
accepted, to appear in Journal of Algebraic Combinatorics.
161. (With Klara Stokes) New methods for finding minimum genus embeddings of
graphs on orientable and non-orientable surfaces, accepted, to appear in
Ars Mathematica Contemporanea.
162. (With Yan-quan Feng, Mi-Mi Zhang and Jin-xin Zhou) Edge-transitive
bi-Cayley graphs, submitted.
163. (With Ademir Hujdurovic, Klavdija Kutnar and Dragan Marusic)
Symmetric cubic graphs via rigid cells, submitted.
164. (With Gabriel Verret) Edge-transitive graphs of small order and the answer
to a 1967 question by Folkman, submitted.
165. (With George Havas, M.F. Newman and Colin Ramsay)
On presentations for unitary groups, submitted.
166. (With Isabel Hubard, Eugenia O'Reilly Regueiro and Daniel Pellicer)
Construction of chiral polytopes of large rank with alternating or symmetric
automorphism group, in preparation.
167. (With Martin Bachraty and Gabriel Verret) Skew product groups for monolithic
groups, in preparation.
168. (With Emilio Bujalance and Javier Cirre) Bounds on the order of the largest
automorphism group of a pseudo-real surface of given genus, in preparation.
169. (With Stephen Lo) The pseudo-real genus of a group, in preparation.
170. (With Dimitri Leemans and Daniel Pellicer) The smallest regular hypertopes,
in preparation.
171. Regular maps with alternating or symmetric automorphism group, in preparation.
172. (With Nick Gill, Ian Short and Jozef Siran) Non-orientable regular maps
with Euler characteristic a negative prime power, in preparation.
173. (With others TBD) Symmetric cubic graphs as Cayley graphs, in preparation.
174. (With Tom Tucker) Graphical Frobenius representations,
draft (in preparation).
175. Generating pairs for finite simple groups, draft (in preparation).
176. (With Klara Stokes) Antipodal configurations, draft (in preparation).
177. Some observations about connectedness of generating sets for finite groups,
draft (in preparation).
Reviews: 225 invited reviews of mathematical papers written and published in
Mathematical Reviews and Zentralblatt für Mathematik.
Last updated 5 December 2018