%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Series . . . . . . . . . . . . . . . . . . . . abbreviations for series
%%
%% The following strings are abbreviations for series, which are used in
%% *books*, *inbook*, and *proceedings*.
%%
@string{ AachenBM = "Aachener Beitr{\accent127a}ge zur Mathematik" }
@string{ BayreuMS = "Bay\-reu\-ther Math. Schr." }
@string{ GMathWiss = "Grundlehren Math. Wiss." }
@string{ LMSLec = "London Math. Soc. Lecture Note Series" }
@string{ LMSMon = "London Math. Soc. Monographs" }
@string{ LNM = "Lecture Notes in Math." }
@string{ OxfordMM = "Oxford Math. Monographs" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Schools, Institutions, Organizations . . . . . abbreviations for schools
%%
%% The following strings are abbreviations for schools, institutions, and
%% organizations, which are used in *masterthesis* (schools), *techreports*
%% (institutions), and *manuals* (organizations).
%%
@string{ DublinIAS = "Dublin Inst. Adv. Studies" }
@string{ RWTH = "Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
Hoch\-schule" }
@string{ RWTHLDfM = "Lehr\-stuhl D f{\accent127 u}r Ma\-the\-ma\-tik,
Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
Hoch\-schule" }
@string{ RWTH-A = "Aachen, Germany" }
@string{ UBath = "University of Bath" }
@string{ UBathSMS = "School of Mathematical Sciences,
University of Bath" }
@string{ UBath-A = "Bath, United Kingdom" }
@string{ UBayreu = "Universit{\accent127a}t Bayreuth" }
@string{ UBayreu-A = "Bayreuth, Germany" }
@string{ UBonn = "Rheinische Friedrich Wilhelm Universit{\accent127a}t
Bonn" }
@string{ UBonn-A = "Bonn, Germany" }
@string{ UEssen = "Universit{\accent127a}t Essen" }
@string{ UEssen-A = "Essen, Germany" }
@string{UHeidel = "Universit{\accent127a}t Heidelberg" }
@string{ UKiel = "Universit{\accent127a}t Kiel" }
@string{ UKiel-A = "Kiel, Germany" }
@string{ McGillU = "McGill University" }
@string{ McGillU-A = "Montreal, Canada" }
@string{ USydney = "University of Sydney" }
@string{ USydBDCS = "Basser Department of Computer Science,
University of Sydney" }
@string{ USydDPM = "Department of Pure Mathematics,
University of Sydney" }
@string{ USydney-A = "Sydney, Australia" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%S Publishers . . . . . . . . . . . . . . . . abbreviations for publishers
%%
%% The following strings are abbreviations for publishers, which are used in
%% *books*, *inbook*, and *proceedings*.
%%
@string{ AcaPress = "Academic Press" }
@string{ ACM = "ACM Press" }
@string{ AddWes = "Addison-Wesley" }
@string{ AMS = "American Mathematical Society" }
@string{ Birkhaeus = "Birkh{\accent127a}user, Basel" }
@string{ BIWissV = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim" }
@string{ CamUPress = "Cambridge University Press" }
@string{ Dover = "Dover Publications, New York" }
@string{ Gruyter = "Walter de Gruyter, Berlin, New York" }
@string{ HDeutsch = "Verlag Harri Deutsch, Frankfurt/Main" }
@string{ Macmillan = "The Macmillan Company, New York" }
@string{ OxUnPress = "Oxford University Press" }
@string{ Pergamon = "Pergamon Press, Oxford" }
@string{ Springer = "Springer, Berlin, Heidelberg and New York" }
@string{ Wiley = "John Wiley, New York" }
@string{ Reidel = "Reidel, Dordrecht, Boston" }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%R References . . . . . . . . . . . . . . . . . . . . . . . . . references
%%
%% The following are the references. They are ordered with respect to the
%% last name of the first author.
%%
@phdthesis{Abb89,
author = "J.~A.~Abbott",
title = "On the Factorization of Polynomials over Algebraic Fields",
school = UBathSMS,
month = "September",
year = "1989",
}
@Article{AL82,
author = "D. Alvis and G. Lusztig",
title = "The representations and generic degrees of the {Hecke}
algebra of type {$H_4$}",
journal = "J. reine angew. Math.",
year = 1982,
volume = 336,
pages = "201--212",
note = "Correction\:\ ibid. {\bf 449}, 217--218 (1994)"
}
@Article{Alv87,
author = "Alvis, D.",
title = "The left cells of the {Coxeter} group of type {$H_4$}",
journal = JALGE,
year = 1987,
volume = 107,
pages = "160--168"
}
@inproceedings{AMW82,
author = "D[avid] G. Arrell and
S[anjiv] Manrai and
M[ichael] F. Worboys",
title = "A procedure for obtaining simplified defining
relations for a subgroup",
crossref = "GrpsStAndrews81",
pages = "155--159",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 84a:20041 (from the introduction),
Zbl 488.20003 (J. Neub{\accent127u}ser)",
}
@inproceedings{AR84,
author = "D[avid] G. Arrell and
E[dmund] F. Robertson",
title = "A modified {T}odd-{C}oxeter algorithm",
crossref = "Durham1982",
pages = "27--32",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 86g:20042 (J.~D. Macdonald),
Zbl 556.20001 (J. Neub{\accent127u}ser)",
}
@book{Art68,
author = "E[mil] Artin",
title = "Galoissche Theorie",
year = "1968",
publisher = HDeutsch,
}
@phdthesis{Bau91,
author = "Ulrich Baum",
title = "Existenz und effiziente {K}onstruktion schneller
{F}ouriertransformationen
{\accent127u}beraufl{\accent127o}sbarer {G}ruppen",
type = "Dissertation",
year = "1991",
school = UBonn,
address = UBonn-A,
}
@article{BC94,
author = "Ulrich Baum and
Michael Clausen",
title = "Computing irreducible representations
of supersolvable groups",
journal = MATHC2,
volume = "207",
pages = "351--359",
year = "1994",
}
@inproceedings{BCFS91,
author = "L[\'aszl\'o] Babai and
G[ene] Cooperman and
L[arry] Finkelstein and
\'A[kos] Seress",
title = "Nearly Linear Time Algorithms for Permutation Groups with
a Small Base",
pages = "200--209",
crossref = "ISSAC91",
}
@article{BC76,
author = "M[ichael] J. Beetham and
C[olin] M. Campbell",
title = "A note on the {T}odd-{C}oxeter coset enumeration
algorithm",
journal = PROEM,
volume = "20",
pages = "73--79",
year = "1976",
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
algorithm description",
reviews = "MR 53 # 3116 (D.~L. Johnson),
Zbl 328.20032 (Summary)"
}
@Article{Ben76,
author = "M. Benard",
title = "{S}chur indices and splitting fields of the unitary
reflection groups",
journal= JALGE,
year= 1976,
volume= 38,
pages= "318--342"
}
@Article{BC72,
author = "C. T. Benson and C. W. Curtis",
title = "On the degrees and rationality of certain characters of
finite {Chevalley} groups",
journal = TRAAM,
year = 1972,
volume = 165,
pages = "251--273"
}
@article{Ber76,
author = "T. R. Berger",
title = "Characters and Derived Length in Groups of Odd Order",
journal = JALGE,
volume = "39",
pages = "199--207",
year = "1976",
}
@mastersthesis{Besche92,
author = "Hans Ulrich Besche",
title = "Die {B}erechnung von {C}haraktergraden und {C}harakteren
endlicher aufl{\accent127 o}sbarer {G}ruppen
im {C}omputeralgebrasystem {GAP}",
type = "Diplomarbeit",
year = "1992",
school = RWTHLDfM,
address = RWTH-A,
}
@article{BescheEick98,
author = "Hans Ulrich Besche and Bettina Eick",
title = "Construction of finite groups",
journal = JSYMC,
pages = "387--404",
volume = 27,
number = 4,
year = "1999"}
@article{BescheEick1000,
author = "Hans Ulrich Besche and Bettina Eick",
title = "The groups of order at most 1000 except 512 and 768",
journal = JSYMC,
pages = "405--413",
volume = 27,
number = 4,
year = "1999"}
@article{BescheEick768,
author = "Hans Ulrich Besche and Bettina Eick",
title = "The groups of order $q^n \cdot p$",
journal = "Comm. Alg.",
volume = 29,
number = 4,
year = "2001",
pages = "1759--1772"}
@article{BEO00,
author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien},
title = {The groups of order at most 2000},
journal = {Electronic Research Announcements of the AMS},
volume = 7,
pages = {1 -- 4},
year = 2001 }
@article{BEO01,
author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien},
title = {A millenium project: constructing small groups},
journal = {IJAC},
volume = {12},
pages = {623 -- 644},
year = 2002}
@article {BFS79,
author = {Beyl, F. Rudolf and Felgner, Ulrich and Schmid, Peter},
title = {On groups occurring as center factor groups},
journal = {J. Algebra},
volume = {61},
year = {1979},
number = {1},
pages = {161--177},
}
@article{EOB99,
author = {Bettina Eick and E. A. O'Brien},
title = {Enumerating $p$-groups},
journal = {J. Austral. Math. Soc.},
volume = 67,
pages = {191 -- 205},
year = 1999 }
@inproceedings{EOB98,
author = {Bettina Eick and E. A. O'Brien},
title = {The groups of order 512},
editor = {Greuel, Hiss, Matzat},
booktitle = {Proceedings of `Abschlusstagung des DFG Schwerpunktes
Algorithmische Algebra und Zahlentheorie in Heidelberg},
publisher = {Springer},
year = 1998}
@article{NOV04,
author = {M.F. Newman, E.A. O'Brien and M.R. Vaughan-Lee},
title = {Groups and nilpotent Lie rings whose order is the sixth of
a prime},
journal = {J. Alg.},
volume = {278},
pages = {383 -- 401},
year = 2003}
@misc{Gir03,
author = {Boris Girnat},
title = {{Klassifikation der Gruppen bis zur Ordnung $p^5$}},
year = 2003,
howpublished = {{Staatsexamensarbeit, TU Braunschweig}}}
@article{DEi05,
author = {Heiko Dietrich and Bettina Eick},
title = {Groups of cube-free order},
journal = {Accepted by J. Alg.},
year = {2005} }
@mastersthesis{Bis89,
author = "Thomas Bischops",
title = "Collectoren im {P}rogrammsystem {GAP}",
type = "Diplomarbeit",
year = "1989",
school = RWTHLDfM,
address = RWTH-A,
}
@techreport{BC92,
author = "Wieb Bosma and
John [J.] Cannon",
title = "Handbook of {Cayley} Functions",
year = "1992",
institution = USydDPM,
address = USydney-A,
keywords = "system design;
Cayley;;
manual",
notes = "PAGES: 282",
}
@Book{Bou68,
author = "Bourbaki, N.",
title = "Groupes et alg{\accent18e}bres de {L}ie, {C}h.~4--6",
publisher = "Hermann, Paris",
year = 1968,
note = "Masson, Paris\:\ 1981"
}
@article{BC89,
author = "Richard P. Brent and
Graeme L. Cohen",
title = "A New Lower Bound for Odd Perfect Numbers",
journal = MATHC3,
volume = "53",
pages = "431--437",
year = "1989",
}
@mastersthesis{Bre91,
author = "Thomas Breuer",
title = "Potenzabbildungen, {U}ntergruppenfusionen,
{T}afel-{A}utomorphismen",
type = "Diplomarbeit",
year = "1991",
school = RWTHLDfM,
address = RWTH-A,
}
@article{BL96,
author = "Thomas Breuer and
Klaus Lux",
title = "The multiplicity-free permutation characters
of the sporadic simple groups
and their automorphism groups",
journal = "Comm. Alg.",
volume = "24",
number = "7",
year = "1996",
pages = "2293--2316",
}
@article{Bre97,
author = "Thomas Breuer",
title = "Integral Bases for Subfields of Cyclotomic Fields",
journal = "AAECC",
volume = "8",
year = "1997",
pages = "279--289",
}
@article{BP98,
author = "Thomas Breuer and
G{\accent127o}tz Pfeiffer",
title = "Finding {P}ossible {P}ermutation {C}haracters",
journal = JSYMC,
volume = "26",
year = "1998",
pages = "343--354",
}
@inproceedings{BreuerLinton98,
author = "Thomas Breuer and Steve Linton",
title = "The {GAP~4} Type System. Organizing Algebraic Algorithms",
crossref = "ISSAC98",
pages = "38--45"
}
@article{Bre99,
author = "Thomas Breuer",
title = "{C}omputing {P}ossible {C}lass {F}usions from {C}haracter
{T}ables",
journal = COMMA2,
volume = "27",
number = "6",
year = "1999",
pages = "2733--2748",
}
@inbook{BN95,
author = "Thomas Breuer and Simon P.~Norton",
title = "Improvements to the {A}tlas",
crossref = "JLPW95",
pages = "297--327",
}
@Article{Bri71,
author = "Brieskorn, E.",
title = "Die {Fundamentalgruppe} des {Raumes} der
regul{\accent127a}ren {Orbits} einer endlichen komplexen
{Spiegelungsgruppe}",
journal = INVEM,
year = 1971,
volume = 12,
pages = "57--61"
}
@Article{BS72,
author = "E. Brieskorn and K. Saito",
title = "{A}rtin-{G}ruppen und {C}oxeter-{G}ruppen",
journal = INVEM,
year = 1972,
volume = 17,
pages = "245--271"
}
@InCollection{BM93,
author = "M. Brou{\accent19e} and G. Malle",
title = "Zyklotomische {H}eckealgebren",
crossref = "Asterisque212",
pages = "119--189"
}
@InCollection{BMM93,
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
title = "Generic blocks of finite reductive groups",
crossref = "Asterisque212",
pages = "7--92"
}
@BOOK{Asterisque212,
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
title = "Repr{\accent19e}sentations
unipotentes g{\accent19e}n{\accent19e}riques
et blocs des groupes r{\accent19e}ductifs finis",
booktitle = "Repr{\accent19e}sentations
unipotentes g{\accent19e}n{\accent19e}riques
et blocs des groupes r{\accent19e}ductifs fini",
publisher = "Soci{\accent19e}t{\accent19e} {M}ath{\accent19e}matique
de {F}rance",
series = "Ast{\accent19e}risque",
volume = 212,
year = 1993
}
@book{Baker84,
author = "Baker, Alan",
title = "A concise introduction to the theory of numbers",
year = 1984,
publisher = CamUPress,
pages = "27-33"
}
@book{BCN89,
author = "A.E. Brouwer and
A.M. Cohen and
A. Neumaier",
title = "Distance-Regular Graphs",
year = "1989",
publisher = Springer,
}
@book{BBNWZ78,
author = "Harold Brown and
Rolf B{\accent127u}low and
Joachim Neub{\accent127u}ser and
Hans Wondratschek and
Hans Zassenhaus",
title = "Crystallographic Groups of Four-Dimensional Space",
year = "1978",
publisher = Wiley,
}
@article{BCMa,
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Some Recognizable Properties of Solvable Groups",
Journal = "Math. Z.",
Year = {1981},
Volume = {178},
Pages = {289--295}
}
@article{BCMb,
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Computable Algebra and Group Embeddings",
Journal = "J. Algebra",
Year = {1981},
Volume = {69},
Pages = {186--212}
}
@book{Bourbaki70,
author = "N. Bourbaki",
title = "{\'El\'ements de Math\'ematique, Alg\`ebre I}",
publisher = "Hermann, Paris",
year = 1970,
volume = 1
}
@article {BJR87,
author = {Brown, R. and Johnson, D. L. and Robertson, E. F.},
title = {Some computations of nonabelian tensor products of groups},
journal = {J. Algebra},
volume = {111},
year = {1987},
number = {1},
pages = {177--202},
}
@article{BuekenhoutLeemans96,
author = {Buekenhout, Francis and Leemans, Dimitri},
title = {On the list of finite primitive permutation groups of degree
$\leq50$},
journal = JSYMC,
volume = {22},
year = {1996},
number = {2},
pages = {215--225}
}
@article{BM83,
author = "Gregory Butler and
John McKay",
title = "The transitive groups of degree up to 11",
journal = COMMA2,
volume = "11",
year = "1983",
pages = "863--911",
}
@article{Butler93,
author = "Gregory Butler",
title = "The transitive groups of degree fourteen and fifteen",
journal = JSYMC,
volumn = "16",
year = "1993",
pages = "413--422"
}
@phdthesis{Bra89,
author = "R. J. Bradford",
title = "On the computation of integral bases and defects of
integrity",
school = UBathSMS,
year = "1989",
}
@article{BTW93,
author = "Bernhard Beauzamy and
Vilmar Trevisan and
Paul~S.~Wang",
title = "Polynomial Factorization:
Sharp Bounds, {E}fficient Algorithms",
journal = JSYMC,
volume = "15",
year = "1993",
pages = "393--413",
}
@book{Bur55,
author = "W[illiam~S.] Burnside",
title = "Theory of Groups of Finite Order",
note = "Unabridged republication of the second edition,
published in 1911",
year = "1955",
publisher = Dover,
notes = "PAGES: xxiv + 512",
}
@article{But82,
author = "Gregory Butler",
title = "Computing in Permutation and Matrix Groups {II}:
Backtrack Algorithm",
journal = MATHC3,
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{But85a,
author = "Gregory Butler",
title = "Effective Computation with Group Homomorphisms",
journal = JSYMC,
volume = "1",
pages = "143--157",
year = "1985",
keywords = "permutation groups;
homomorphisms",
reviews = "MR 87b:68057 (Summary),
Zbl 572.20001 (J. Neub{\accent127u}ser)",
notes = "TR 184 BDCS (1982), 41 pages",
}
@mastersthesis{Cam71,
author = "Harvey A. Campbell",
title = "An extension of coset enumeration",
type = "M. {S}c. thesis",
year = "1971",
school = McGillU,
address = McGillU-A,
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
program description",
}
@article{Can73,
author = "John J. Cannon",
title = "Construction of defining relators for finite groups",
journal = "Discrete Math.",
volumn = "5",
year = "1973",
pages = "105--129",
}
@Article{Car72,
author = "R. W. Carter",
title = "Conjugacy classes in the {Weyl} group",
journal = "Compositio Math.",
year = 1972,
volume = 25,
pages = "1--59"
}
@Book{Car85,
author = "R. W. Carter",
title = "Finite groups of {Lie} type: {Conjugacy} classes and
complex characters",
publisher = "Wiley, New York",
year = 1985
}
@Article{Car86,
author = "R. W. Carter",
title = "Representation Theory of the 0--{H}ecke Algebra",
journal = JALGE,
year = 1986,
volume = 104,
pages = "89--103"
}
@Book{Car72a,
author = "R. W. Carter",
title = "Simple groups of Lie type",
publisher = "John Wiley and Sons",
series = "Pure and Applied Mathematics",
volume = 28,
year = 1972,
}
@mastersthesis{Cel92,
author = "Frank Celler",
title = "Kohomologie und {N}ormalisatoren in {GAP}",
type = "Diplomarbeit",
year = "1992",
school = RWTHLDfM,
address = RWTH-A,
}
@article{CNW90,
author = "Frank Celler and
Joachim Neub{\accent127u}ser and
Charles~R.~B. Wright",
title = "Some remarks on the computation of complements and
normalizers in soluble groups",
journal = "Acta Applicandae Mathematicae",
volume = "21",
pages = "57--76",
year = "1990",
}
@Article{Cha92,
author = "Charney, R.",
title = "Artin groups of finite type are bi-automatic",
journal = MATHA,
year = 1992,
volume = 292,
pages = "671--683"
}
@article{Cla97,
author = "Michael Clausen",
title = "A Direct Proof of {M}inkwitz's Extension Theorem",
journal = "AAECC",
year = "1997",
volume = "8",
pages = "305--306"
}
@book{Coh93,
author = "Henri Cohen",
title = "A Course in Computational Algebraic Number Theory",
series = "Graduate Texts in Mathematics",
volume = "138",
year = "1993",
publisher = Springer,
}
@article{Con90a,
author = "S[am] B. Conlon",
title = "Calculating Characters of $p$-groups",
journal = JSYMC,
volume = "9",
number = "5 \& 6",
pages = "535--550",
year = "1990",
}
@article{Con90b,
author = "S[am] B. Conlon",
title = "Computing Modular and Projective Character Degrees
of Soluble Groups",
journal = JSYMC,
volume = "9",
number = "5 \& 6",
pages = "551--570",
year = "1990",
}
@book{CCN85,
author = "J[ohn] H. Conway and
R[obert] T. Curtis and
S[imon] P. Norton and
R[ichard] A. Parker and
R[obert] A. Wilson",
title = "Atlas of finite groups",
year = "1985",
publisher = OxUnPress,
}
@article{ConwayHulpkeMckay98,
author = "John~H. Conway and Alexander Hulpke and John McKay",
title = "On transitive permutation groups",
journal = "LMS J. Comput. Math.",
volume = 1,
pages = "1--8",
year = "1998"}
@article{CF94,
AUTHOR = {Cooperman, Gene and Finkelstein, Larry},
TITLE = {A random base change algorithm for permutation groups},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {17},
YEAR = {1994},
NUMBER = {6},
PAGES = {513--528},
ISSN = {0747-7171},
MRCLASS = {68Q40 (20B07)},
MRNUMBER = {96a:68048},
}
@Book{coxlittleoshea,
AUTHOR = {Cox, David and Little, John and O'Shea, Donal},
TITLE = {Ideals, varieties, and algorithms},
SERIES = {Undergraduate Texts in Mathematics},
EDITION = {Second},
NOTE = {An introduction to computational algebraic geometry and
commutative algebra},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997}
}
@Book{CR87,
author = "C. W. Curtis and I. Reiner",
title = "Methods of representation theory, vol. {I}, {II}",
publisher = Wiley,
year = "1981/1987"
}
@Article{Del72,
author = "Deligne, P.",
title = "Les immeubles des groupes de tresses
g{\accent19e}n{\accent19e}ralis{\accent19e}s",
journal = INVEM,
year = 1972,
volume = 17,
pages = "273--302"
}
@Article{Deo89,
author = "Deodhar, V.V.",
title = "A note on subgroups generated by reflections in
{C}oxeter groups",
journal = ARCMB1,
year = 1989,
volume = 53,
pages = "543--546"
}
@article{Dix67,
author = "J[ohn] D. Dixon",
title = "High Speed Computations of Group Characters",
journal = NUMEM,
volume = "10",
pages = "446--450",
year = "1967",
}
@article{DixonMortimer88,
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author = "Joachim Neub{\accent127u}ser",
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notes = "PAGES: 370",
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author = "Joachim Neub{\accent127u}ser",
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Todd Coxeter (tc), modified Todd Coxeter (mtc);
algorithm description, survey",
reviews = "MR 84f:20004 (George Havas),
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author = "J{\accent127u}rgen Neukirch",
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author = "G[abriele] Nebe and
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author = "G[abriele] Nebe and
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publisher = AMS,
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application",
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author = "Felix Noeske",
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type = "Diplom\-ar\-beit",
school = RWTHLDFM,
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author = "G. Pfeiffer",
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author = "W[ilhelm] Plesken",
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note = "The paper is available at
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Rheinisch Westf{\accent127a}lische Technische
Hoch\-schule Aachen,
may be it will be published in the near future",
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author = "W[ilhelm] Plesken and
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author = "C.~Ramsay",
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author = "Michael Ringe",
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pages = "421--439",
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author = "Colva~M. Roney-Dougal",
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journal = "To appear in Journal of Algebra",
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pages = "101--121",
year = "1973",
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year = "1990",
}
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author = "Michael Scherner",
title = "Erweiterung einer {A}rithmetik von
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type = "Diplomarbeit",
year = "1992",
school = RWTHLDfM,
address = RWTH-A,
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@mastersthesis{Schiffer94,
author = "Ute Schiffer",
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school = RWTHLDfM,
address = RWTH-A,
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keywords = "permutation groups;
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reviews = "MR 41 # 1856 (H. Kimura),
Zbl 215, 100 (J. McKay),
CR 11 # 19,829 (G.~N. Raney)",
notes = "RUSSIAN translation in:
Computations in algebra and number theory (Russian), edited
by B.~B. Venkov and D.~K. Faddeev, pp. 129--147,
Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
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volume = 9,
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year = 1990}
@book{Sims94,
Author = "C.~C. Sims",
Title = "Computation with Finitely Presented Groups",
Publisher = {Cambridge University Press},
Year = {1994}
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author = "Charles~C. Sims",
title = "Computing with Subgroups of Automorphism Groups
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pages = "40--403"}
@manual{Sog89,
title = "{SOGOS} - A Program System for Handling Subgroups of
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year = "1989",
organization = RWTHLDfM,
address = RWTH-A,
keywords = "groups, finitely presented groups, polycyclic groups,
nilpotent groups, p-groups;
SOGOS, pc-presentation, ag-presentation, collection,
elements, classes of conjugate elements,
centralizer, normalizer, normal closure, intersection,
sylow subgroups, derived subgroup, series,
central series, p-central series, subgroup lattice,
table of marks, complements, factor groups;
nilpotent quotient (nq);
manual",
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title = "{GRAPE}: a system for computing with graphs and groups",
crossref = "DIMACS",
pages = "287-291",
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@manual{Spa89,
title = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem,
version 2.5, User's reference manual",
key = "SPAS",
year = "1989",
organization = RWTHLDfM,
address = RWTH-A,
keywords = "finitely presented groups;
SPAS, subgroup presentation, simplification,
low index subgroups;
Todd Coxeter (tc), modified Todd Coxeter (mtc),
Reidemeister Schreier (rs),
reduced Reidemeister Schreier (rrs),
Tietze transformations, tree decoding;
manual",
}
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volume = 140,
pages = "353--396"
}
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author = "D.~E.~Taylor",
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volume = "3",
year = "1987",
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author = "Heiko Thei{\ss}en",
title = "{Methoden zur Bestimmung der rationalen
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type = "Diplomarbeit",
school = RWTHLDFM,
adress = RWTH-A,
year = 1993}
@phdthesis{Theissen97,
author = "Heiko Thei{\ss}en",
title = "{Eine Methode zur Normalisatorberechnung in
Per\-mu\-ta\-tions\-gruppen mit An\-wen\-dun\-gen in der
Kon\-struk\-tion primitiver Gruppen}",
type = "Dissertation",
school = RWTH,
address = RWTH-A,
year = "1997"}
@mastersthesis{Thi87,
author = "Peter Thiemann",
title = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung",
type = "Diplom\-arbeit",
year = "1987",
school = RWTHLDfM,
address = RWTH-A,
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@inproceedings{VL84,
author = "M[ichael] R. Vaughan-Lee",
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author = "M[ichael] R. Vaughan-Lee",
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@article{Wagon90,
author = "Wagon, Stan",
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@techreport{wielandt69,
author = "Helmut Wielandt",
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type = "Lecture Notes",
institution = "Department of Mathematics, The Ohio State University",
year = 1969}
@misc{AGR,
author = "Robert A.~Wilson",
title = "{ATLAS of Finite Group Representations}",
key = "ATLAS",
howpublished = "\URL{http://www.mat.bham.ac.uk/atlas/}",
}
@article{BSW01,
author = "John N.~Bray and
Ibrahim A.~I.~Suleiman and
Peter G.~Walsh and
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@InCollection{Won95,
author = "Hans Wondratschek",
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crossref = "Hah95",
pages = "711--735"
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@manual{Wur93,
author = "Martin Wursthorn",
title = "{\sc SISYPHOS} Computing in modular group algebras,
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year = "1993",
organization = "Math. Inst. B, 3. Lehrstuhl",
address = "Universit{\accent127a}t Stuttgart",
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@article {Zagier90,
author = "Zagier, D.",
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@mastersthesis{Zum89,
author = "Matthias Zumbroich",
title = "{Grundlagen} einer {Arithmetik} in
{Kreisteilungsk{\accent127o}rpern} und ihre
{Implementation} in {CAS}",
type = "Diplomarbeit",
year = "1989",
school = RWTHLDfM,
address = RWTH-A,
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%P Proceedings . . . . . . . . . . . . . . . . . references for proceedings
%%
%% The following references are proceedings that are *crossreferenced* from
%% the references above. They *must* come at the end of this file. They
%% are ordered with respect to the year of their publication.
%%
@proceedings{Oxford67,
title = "Computational Problems in Abstract Algebra, Oxford, 1967",
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Proc. Conf. Oxford, 1967",
editor = "John Leech",
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publisher = Pergamon,
reviews = "MR 40#5374,
Zbl 186.299",
}
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title = "Second International Conference on the Theory of Groups,
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series = LNM,
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