# GAP – Groups, Algorithms, and Programming, Version 4.4.10

The GAP Group
http://www.gap-system.org
Oct
2007
GAP
groups; *; gap; manual

# GAP – Groups, Algorithms, and Programming, Version 4.5.0

The GAP Group
http://www.gap-system.org
Apr
2012
GAP
groups; *; gap; manual
Wieb
Bosma

# Canonical bases for cyclotomic fields

1990
1
2
125–134
0938-1279
1325517 (95k:11135)
11R18 (11Y40 20C15)
Michel Olivier
AAECEW
10.1007/BF01810296
Applicable Algebra in Engineering, Communication and Computing
http://dx.doi.org/10.1007/BF01810296
Thomas
Breuer

# Ambiguous Class Fusions in the GAP Character Table Library

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ambigfus.pdf
Thomas
Breuer

# Using Table Automorphisms for Constructing Character Tables in GAP

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblcons.pdf
Thomas
Breuer

# Constructing Character Tables of Central Extensions in GAP

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctocenex.pdf
Thomas
Breuer

# Permutation Characters in GAP

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/doc/ctblpope.pdf
Thomas
Breuer

# GAP computations concerning probabilistic generation of finite simple groups

arXiv:0710.3267
Thomas
Breuer

# Computing character tables of groups of type M.G.A

LMS J. Comput. Math.
2011
14
173–178
1461-1570
2831228
20C15 (20C40)
http://dx.doi.org/10.1112/S1461157010000318
10.1112/S1461157010000318
LMS Journal of Computation and Mathematics
Áron
Bereczky

# Maximal overgroups of Singer elements in classical groups

2000
234
1
187–206
0021-8693
1799483 (2002a:20049)
20G40
Cheryl E. Praeger
http://dx.doi.org/10.1006/jabr.2000.8458
JALGA4
10.1006/jabr.2000.8458
Journal of Algebra
Thomas
Breuer
Robert M.
Guralnick
William M.
Kantor

# Probabilistic generation of finite simple groups, II

2008
320
2
443–494
0021-8693
2422303 (2010e:20096)
20P05 (20D05)
JALGA4
10.1016/j.jalgebra.2007.10.028
http://dx.doi.org/10.1016/j.jalgebra.2007.10.028
J. L.
Brenner
James
Wiegold

# Two-generator groups. I

1975
22
53–64
0026-2285
0372033 (51 #8250)
20D99
Morris Newman
The Michigan Mathematical Journal
Thomas
Breuer
Götz
Pfeiffer

# Finding possible permutation characters

1998
26
3
343–354
0747-7171
1633876 (99e:20005)
20B99 (20B40 20C15 20C40)
Cheryl E. Praeger
http://dx.doi.org/10.1006/jsco.1998.0217
10.1006/jsco.1998.0217
Journal of Symbolic Computation
T.
Breuer
Jürgen
Müller

# Character tables of endomorphism rings of multiplicity-free permutation modules of the sporadic simple groups and their cyclic and bicyclic extensions

http://www.math.rwth-aachen.de/~Juergen.Mueller/mferctbl/mferctbl.html
2005
T.
Breuer

# The GAP Character Table Library, Version 1.1.3

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib
Mar
2004

GAP package

T.
Breuer

# The GAP Character Table Library, Version 1.2

http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib
May
2012

GAP package

T. C.
Burness
R. M.
Guralnick
J.
Saxl

# On base sizes for symmetric groups

Bull. Lond. Math. Soc.
2011
43
2
386–391
0024-6093
2781219 (2012d:20003)
20B15 (20B30 20D06 20P05)
Colva M. Roney-Dougal
10.1112/blms/bdq123
http://dx.doi.org/10.1112/blms/bdq123
Bulletin of the London Mathematical Society
Michael
Claßen-Houben

# Jordan-Zerlegung der Charaktere für die GAP-Charaktertafeln der endlichen Gruppen vom Lie-Typ

2005
Diplomarbeit

Sebastian
Dany

# Berechnung von Charaktertafeln zentraler Erweiterungen ausgewählter Gruppen

2006
Diplomarbeit

S.
Dolfi
G.
Navarro
Pham Huu
Tiep

# Finite groups whose same degree characters are Galois conjugate

preprint
Walter
Feit

# The representation theory of finite groups

North-Holland Publishing Co.
1982
25
North-Holland Mathematical Library

xiv+502 pp., ISBN 0-444-86155-6

661045 (83g:20001)
20-02 (20C20)
J. L. Alperin
Robert M.
Guralnick
William M.
Kantor

# Probabilistic generation of finite simple groups

2000
234
2
743–792

Special issue in honor of Helmut Wielandt

0021-8693
1800754 (2002f:20038)
20E32 (20D05 20P05)
Richard M. Thomas
http://dx.doi.org/10.1006/jabr.2000.8357
JALGA4
10.1006/jabr.2000.8357
Journal of Algebra
Stephen M.
Gagola, Jr.

# Formal character tables

1986
33
1
3–10
0026-2285
817904 (86k:20010)
20C99 (20C15)
Roderick Gow
http://dx.doi.org/10.1307/mmj/1029003285
10.1307/mmj/1029003285
The Michigan Mathematical Journal
Shahiem
Ganief
Jamshid
Moori

# On the spread of the sporadic simple groups

2001
29
8
3239–3255
0092-7872
1849484 (2002i:20025)
20D08 (20P05)
Ronald Solomon
http://dx.doi.org/10.1081/AGB-100105019
COALDM
10.1081/AGB-100105019
Communications in Algebra
Thomas
Breuer
Robert M.
Guralnick
Andrea
Lucchini
Attila
Maróti
Gabor P.
Nagy

# Hamiltonian cycles in the generating graphs of finite groups

2010
42
4
621–633
0024-6093
2669683 (2012a:20046)
20D60 (05C25 05C45 20P05)
Mihalis A. Sykiotis
http://dx.doi.org/10.1112/blms/bdq017
10.1112/blms/bdq017
Bulletin of the London Mathematical Society
Robert
Guralnick
Tim
Penttila
Cheryl E.
Praeger
Jan
Saxl

# Linear groups with orders having certain large prime divisors

1999
78
1
167–214
0024-6115
1658168 (99m:20113)
20G40 (20C33 20E28 20E34)
Jean Michel
http://dx.doi.org/10.1112/S0024611599001616
PLMTAL
10.1112/S0024611599001616
Proceedings of the London Mathematical Society. Third Series
Gerhard
Hiss
Klaus
Lux

# The 5-modular characters of the sporadic simple Fischer groups {\rm Fi}_{{22}} and {\rm Fi}_{{23}}

1994
22
9
3563–3590

With an appendix by Thomas Breuer

0092-7872
1278806 (95e:20020)
20C34 (20C40)
A. S. Kondratʹev
http://dx.doi.org/10.1080/00927879408825042
COALDM
10.1080/00927879408825042
Communications in Algebra
Ines
Höhler

# Vielfachheitsfreie Permutationsdarstellungen und die Invarianten zugehöriger Graphen

2001
Examensarbeit

D.
Holt

# cohomolo, computing cohomology groups and Schur multipliers, Version 1.6

http://www.maths.warwick.ac.uk/~dfh/cohomolo
2008

Refereed GAP package

Petra E.
Holmes
Robert A.
Wilson

# {\rm PSL}_2(59) is a subgroup of the Monster

2004
69
1
141–152
0024-6107
2025332 (2004k:20035)
20D08 (20D06)
Stephen D. Smith
JLMSAK
10.1112/S0024610703004915
http://dx.doi.org/10.1112/S0024610703004915
Petra E.
Holmes
Robert A.
Wilson

# On subgroups of the Monster containing A_5's

2008
319
7
2653–2667
0021-8693
2397402 (2009a:20028)
20D08 (20E28)
Stephen D. Smith
JALGA4
10.1016/j.jalgebra.2003.11.014
http://dx.doi.org/10.1016/j.jalgebra.2003.11.014
Peter B.
Kleidman

# The maximal subgroups of the finite 8-dimensional orthogonal groups P\Omega^+_8(q) and of their automorphism groups

1987
110
1
173–242
0021-8693
904187 (88i:20070)
20G40 (20D05)
Gernot Stroth
http://dx.doi.org/10.1016/0021-8693(87)90042-1
JALGA4
10.1016/0021-8693(87)90042-1
Journal of Algebra
Peter
Kleidman
Martin
Liebeck

# The subgroup structure of the finite classical groups

Cambridge University Press
1990
129
London Mathematical Society Lecture Note Series

    Cambridge

0-521-35949-X
1057341 (91g:20001)
20-02 (20D06 20G40)
R. W. Carter
http://dx.doi.org/10.1017/CBO9780511629235
10.1017/CBO9780511629235
x+303
Peter B.
Kleidman
Robert A.
Wilson

# The maximal subgroups of J_4

1988
56
3
484–510
0024-6115
931511 (89b:20044)
20D08 (20E28)
Gernot Stroth
http://dx.doi.org/10.1112/plms/s3-56.3.484
PLMTAL
10.1112/plms/s3-56.3.484
Proceedings of the London Mathematical Society. Third Series
Stephen A.
Linton
S. A.
Mpono

# Multiplicity-free permutation characters of covering groups of sporadic simple groups

preprint
Stephen A.
Linton
Robert A.
Wilson

# The maximal subgroups of the Fischer groups {\rm Fi}_{{24}} and {\rm Fi}'_{{24}}

1991
63
1
113–164
0024-6115
1105720 (92h:20031)
20D08 (20E28)
Gerard M. Enright
http://dx.doi.org/10.1112/plms/s3-63.1.113
PLMTAL
10.1112/plms/s3-63.1.113
Proceedings of the London Mathematical Society. Third Series
Gunter
Malle
Jan
Saxl
Thomas
Weigel

# Generation of classical groups

1994
49
1
85–116
0046-5755
1261575 (95c:20068)
20G40 (20D05 20F05)
A. A. Makhnev
http://dx.doi.org/10.1007/BF01263536
GEMDAT
10.1007/BF01263536
Geometriae Dedicata
Jürgen
Müller

# On Endomorphism Rings and Character Tables

2003
Habilitationsschrift

Jürgen
Müller

# On the multiplicity-free actions of the sporadic simple groups

2008
320
2
910–926
0021-8693
2422321 (2009d:20028)
20D08 (05C25 20C34)
A. S. Kondratʹev
http://dx.doi.org/10.1016/j.jalgebra.2008.01.040
JALGA4
10.1016/j.jalgebra.2008.01.040
Journal of Algebra
Simon P.
Norton
Robert A.
Wilson

# Anatomy of the Monster. II

2002
84
3
581–598
0024-6115
1888424 (2003b:20023)
20D08 (20E28)
Mohammad-Reza Darafsheh
http://dx.doi.org/10.1112/S0024611502013357
PLMTAL
10.1112/S0024611502013357
Proceedings of the London Mathematical Society. Third Series
Simon P.
Norton
Robert A.
Wilson

# A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L_2(41), and a new Moonshine phenomenon

preprint
http://www.maths.qmul.ac.uk/~raw/pubs_files/ML241sub.pdf
Herbert
Pahlings

# The character table of 2^{1+22}_+.{\rm Co}_2

2007
315
1
301–325
0021-8693
2344348 (2008g:20023)
20C34
Shigeo Koshitani
JALGA4
Journal of Algebra
Robert A.
Wilson

# Some subgroups of the Baby Monster

1987
89
1
197–218
0020-9910
892191 (88d:20030)
20D08 (20E28)
Bernd Baumann
INVMBH
10.1007/BF01404677
Inventiones Mathematicae
http://dx.doi.org/10.1007/BF01404677
Robert A.
Wilson

# The odd-local subgroups of the Monster

1988
44
1
1–16
0263-6115
914399 (88k:20038)
20D08
Gernot Stroth
JAMADS
Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics
Robert A.
Wilson

# Some new subgroups of the Baby Monster

1993
25
1
23–28
0024-6093
1190359 (93j:20041)
20D08
È. M. Palʹchik
http://dx.doi.org/10.1112/blms/25.1.23
LMSBBT
10.1112/blms/25.1.23
The Bulletin of the London Mathematical Society
Robert A.
Wilson

# More on maximal subgroups of the Baby Monster

1993
61
6
497–507
0003-889X
1254061 (95i:20021)
20D08
David C. Hunt
ACVMAL
Archiv der Mathematik
Robert A.
Wilson

# The McKay conjecture is true for the sporadic simple groups

1998
207
1
294–305
0021-8693
1643110 (99h:20016)
20C34 (20D08 20D20)
Jian Bei An
JALGA4
10.1006/jabr.1998.7450
Journal of Algebra
http://dx.doi.org/10.1006/jabr.1998.7450
Robert A.
Wilson

# The maximal subgroups of the Baby Monster. I

1999
211
1
1–14
0021-8693
1656568 (2000b:20016)
20D08 (20E28)
Andrew Woldar
http://dx.doi.org/10.1006/jabr.1998.7601
JALGA4
10.1006/jabr.1998.7601
Journal of Algebra
Robert A.
Wilson

# New computations in the Monster

Moonshine: the first quarter century and beyond
Cambridge Univ. Press
2010
372
London Math. Soc. Lecture Note Ser.
393–403

    Cambridge

Moonshine2010
2681789 (2011i:20020)
20D08 (20-02)
A. S. Kondratʹev
Robert A.
Wilson

# ATLAS: Monster group {M}

http://brauer.maths.qmul.ac.uk/Atlas/spor/M
James
Lepowsky
John
McKay
Michael P.
Tuite

# Moonshine: the first quarter century and beyond

2010
372
London Mathematical Society Lecture Note Series

    Cambridge

Cambridge University Press
978-0-521-10664-1
2724692 (2011e:17001)
17-06 (20-06)
Proceedings of the Workshop on the Moonshine Conjectures and Vertex Algebras held at Heriot-Watt University, Edinburgh, July 5–13, 2004
xii+403