Groups St. Andrews 2001 in Oxford

307 Pages·2003·5.37 MB·English

by  C. M. Campbell

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159 GroupsStAndrews1989volume1, C.M.CAMPBELL&E.F.ROBERTSON(eds)
160 GroupsStAndrews1989volume2, C.M.CAMPBELL&E.F.ROBERTSON(eds)
161 Lecturesonblocktheory, BURKHARDKU¨LSHAMMER
163 Topicsinvarietiesofgrouprepresentations, S.M.VOVSI
164 Quasi-symmetricdesigns, M.S.SHRIKANDE&S.S.SANE
166 Surveysincombinatorics,1991, A.D.KEEDWELL(ed)
168 Representationsofalgebras, H.TACHIKAWA&S.BRENNER(eds)
169 Booleanfunctioncomplexity, M.S.PATERSON(ed)
170 ManifoldswithsingularitiesandtheAdams-Novikovspectralsequence, B.BOTVINNIK
171 Squares, A.R.RAJWADE
172 Algebraicvarieties, GEORGER.KEMPF
173 Discretegroupsandgeometry, W.J.HARVEY&C.MACLACHLAN(eds)
174 Lecturesonmechanics, J.E.MARSDEN
175 Adamsmemorialsymposiumonalgebraictopology1, N.RAY&G.WALKER(eds)
176 Adamsmemorialsymposiumonalgebraictopology2, N.RAY&G.WALKER(eds)
177 Applicationsofcategoriesincomputerscience, M.FOURMAN,P.JOHNSTONE&
A.PITTS(eds)
178 LowerK-andL-theory, A.RANICKI
179 Complexprojectivegeometry, G.ELLINGSRUDetal
180 LecturesonergodictheoryandPesintheoryoncompactmanifolds, M.POLLICOTT
181 GeometricgrouptheoryI, G.A.NIBLO&M.A.ROLLER(eds)
182 GeometricgrouptheoryII, G.A.NIBLO&M.A.ROLLER(eds)
183 Shintanizetafunctions, A.YUKIE
184 Arithmeticalfunctions, W.SCHWARZ&J.SPILKER
185 Representationsofsolvablegroups, O.MANZ&T.R.WOLF
186 Complexity:knots,colouringsandcounting, D.J.A.WELSH
187 Surveysincombinatorics,1993, K.WALKER(ed)
188 Localanalysisfortheoddordertheorem, H.BENDER&G.GLAUBERMAN
189 Locallypresentableandaccessiblecategories, J.ADAMEK&J.ROSICKY
190 Polynomialinvariantsoffinitegroups, D.J.BENSON
191 Finitegeometryandcombinatorics, F.DECLERCKetal
192 Symplecticgeometry, D.SALAMON(ed)
194 Independentrandomvariablesandrearrangementinvariantspaces, M.BRAVERMAN
195 Arithmeticofblowupalgebras, WOLMERVASCONCELOS
196 Microlocalanalysisfordifferentialoperators, A.GRIGIS&J.SJO¨STRAND
197 Two-dimensionalhomotopyandcombinatorialgrouptheory, C.HOG-ANGELONIetal
198 Thealgebraiccharacterizationofgeometric4-manifolds, J.A.HILLMAN
199 InvariantpotentialtheoryintheunitballofCn, MANFREDSTOLL
200 TheGrothendiecktheoryofdessinsd’enfant, L.SCHNEPS(ed)
201 Singularities, JEAN-PAULBRASSELET(ed)
202 Thetechniqueofpseudodifferentialoperators, H.O.CORDES
203 HochschildcohomologyofvonNeumannalgebras, A.SINCLAIR&R.SMITH
204 Combinatorialandgeometricgrouptheory, A.J.DUNCAN,N.D.GILBERT&
J.HOWIE(eds)
205 Ergodictheoryanditsconnectionswithharmonicanalysis, K.PETERSEN&
I.SALAMA(eds)
207 GroupsofLietypeandtheirgeometries, W.M.KANTOR&L.DIMARTINO(eds)
208 Vectorbundlesinalgebraicgeometry, N.J.HITCHIN,P.NEWSTEAD&
W.M.OXBURY(eds)
209 Arithmeticofdiagonalhypersurfacesoverfinitefields, F.Q.GOUVEA&N.YUI
210 HilbertC∗-modules, E.C.LANCE
211 Groups93Galway/StAndrewsI, C.M.CAMPBELLetal(eds)
212 Groups93Galway/StAndrewsII, C.M.CAMPBELLetal(eds)
214 GeneralisedEuler-Jacobiinversionformulaandasymptoticsbeyondallorders,
V.KOWALENKOetal
215 Numbertheory1992–93, S.DAVID(ed)
216 Stochasticpartialdifferentialequation, A.ETHERIDGE(ed)
217 Quadraticformswithapplicationstoalgebraicgeometryandtopology, A.PFISTER
218 Surveysincombinatorics,1995, PETERROWLINSON(ed)
220 Algebraicsettheory, A.JOYAL&I.MOERDIJK
221 Harmonicapproximation, S.J.GARDINER
222 Advancesinlinearlogic, J.-Y.GIRARD,Y.LAFONT&L.REGNIER(eds)
223 Analyticsemigroupsandsemilinearinitialboundaryvalueproblems, KAZUAKITAIRA
224 Computability,enumerability,unsolvability, S.B.COOPER,T.A.SLAMAN&
S.S.WAINER(eds)
225 Amathematicalintroductiontostringtheory, S.ALBEVERIO,J.JOST,S.PAYCHA,
S.SCARLATTI
226 Novikovconjectures,indextheoremsandrigidityI, S.FERRY,A.RANICKI&
J.ROSENBERG(eds)
227 Novikovconjectures,indextheoremsandrigidityII, S.FERRY,A.RANICKI&
J.ROSENBERG(eds)
228 ErgodictheoryofZdactions, M.POLLICOTT&K.SCHMIDT(eds)
229 Ergodicityforinfinitedimensionalsystems, G.DAPRATO&J.ZABCZYK
230 Prolegomenatoamiddlebrowarithmeticofcurvesofgenus2, J.W.S.CASSELS&
E.V.FLYNN
231 Semigrouptheoryanditsapplications, K.H.HOFMANN&M.W.MISLOVE(eds)
232 ThedescriptivesettheoryofPolishgroupactions, H.BECKER&A.S.KECHRIS
233 Finitefieldsandapplications, S.COHEN&H.NIEDERREITER(eds)
234 Introductiontosubfactors, V.JONES&V.S.SUNDER
235 Numbertheory1993–94, S.DAVID(ed)
236 TheJamesforest, H.FETTER&B.GAMBOADEBUEN
237 Sievemethods,exponentialsums,andtheirapplicationsinnumbertheory,
G.R.H.GREAVESetal
238 Representationtheoryandalgebraicgeometry, A.MARTSINKOVSKY&
G.TODOROV(eds)
239 Cliffordalgebrasandspinors, P.LOUNESTO
240 Stablegroups, FRANK.O.WAGNER
241 Surveysincombinatorics,1997, R.A.BAILEY(ed)
242 GeometricGaloisactionsI, L.SCHNEPS&P.LOCHAK(eds)
243 GeometricGaloisactionsII, L.SCHNEPS&P.LOCHAK(eds)
244 Modeltheoryofgroupsandautomorphismgroups, D.EVANS(ed)
245 Geometry,combinatorialdesignsandrelatedstructures, J.W.P.HIRSCHFELDetal
246 p-Automorphismsoffinitep-groups, E.I.KHUKHRO
247 Analyticnumbertheory, Y.MOTOHASHI(ed)
248 Tametopologyando-minimalstructures, LOUVANDENDRIES
249 Theatlasoffinitegroups:tenyearson, ROBERTCURTIS&ROBERTWILSON(eds)
250 Charactersandblocksoffinitegroups, G.NAVARRO
251 Gro¨bnerbasesandapplications, B.BUCHBERGER&F.WINKLER(eds)
252 Geometryandcohomologyingrouptheory, P.KROPHOLLER,G.NIBLO,R. STO¨HR(eds)
253 Theq-Schuralgebra, S.DONKIN
254 Galoisrepresentationsinarithmeticalgebraicgeometry, A.J.SCHOLL&R.L.TAYLOR(eds)
255 Symmetriesandintegrabilityofdifferenceequations,P.A.CLARKSON&F.W.NIJHOFF(eds)
256 AspectsofGaloistheory, HELMUTVO¨LKLEINetal
257 Anintroductiontononcommutativedifferentialgeometryanditsphysicalapplications2ed,
J.MADORE
258 Setsandproofs, S.B.COOPER&J.TRUSS(eds)
259 Modelsandcomputability, S.B.COOPER&J.TRUSS(eds)
260 GroupsStAndrews1997inBath,I, C.M.CAMPBELLetal
261 GroupsStAndrews1997inBath,II, C.M.CAMPBELLetal
263 Singularitytheory, BILLBRUCE&DAVIDMOND(eds)
264 Newtrendsinalgebraicgeometry, K.HULEK,F.CATANESE,C.PETERS&M.REID(eds)
265 Ellipticcurvesincryptography, I.BLAKE,G.SEROUSSI&N.SMART
267 Surveysincombinatorics,1999, J.D.LAMB&D.A.PREECE(eds)
268 Spectralasymptoticsinthesemi-classicallimit, M.DIMASSI&J.SJO¨STRAND
269 Ergodictheoryandtopologicaldynamics, M.B.BEKKA&M.MAYER
270 AnalysisonLieGroups, N.T.VAROPOULOS&S.MUSTAPHA
271 Singularperturbationsofdifferentialoperators, S.ALBEVERIO&P.KURASOV
272 Charactertheoryfortheoddorderfunction, T.PETERFALVI
273 Spectraltheoryandgeometry, E.B,DAVIES&Y.SAFAROV(eds)
274 TheMandelbrotset,themeandvariations, TANLEI(ed)
275 Computationalandgeometricaspectsofmodernalgebra, M.D.ATKINSONetal(eds)
276 Singularitiesofplanecurves, E.CASAS-ALVERO
277 Descriptivesettheoryanddynamicalsystems, M.FOREMANetal(eds)
278 Globalattractorsinabstractparabolicproblems, J.W.CHOLEWA&T.DLOTKO
279 Topicsinsymbolicdynamicsandapplications, F.BLANCHARD,A.MAASS&
A.NOGUEIRA(eds)
280 CharactersandAutomorphismGroupsofCompactRiemannSurfaces, T.BREUER
281 Explicitbirationalgeometryof3-folds, ALESSIOCORTI&MILESREID(eds)
282 Auslander-Buchweitzapproximationsofequivariantmodules, M.HASHIMOTO
283 Nonlinearelasticity, R.OGDEN&Y.FU(eds)
284 Foundationsofcomputationalmathematics, R.DEVORE,A.ISERLES&E.SULI(eds)
285 Rationalpointsoncurvesoverfinitefields:TheoryandApplications,
H.NIEDERREITER&C.XING
286 Cliffordalgebrasandspinors2ndedn, P.LOUNESTO
287 TopicsonRiemannsurfacesandFuchsiangroups, E.BUJALANCE,A.F.COSTA&
E.MARTINEZ(eds)
288 Surveysincombinatorics,2001, J.W.P.HIRSCHFELD(ed)
289 AspectsofSobolev-typeinequalities, L.SALOFF-COSTE
290 QuantumgroupsandLietheory, A.PRESSLEY
291 Titsbuildingsandthemodeltheoryofgroups, K.TENT
292 Aquantumgroupsprimer, S.MAJID
293 SecondorderpartialdifferentialequationsinHilbertspaces, G.DAPRATO&J.ZABCZYK
294 Introductiontooperatorspacetheory, G.PISIER
296 Lecturesoninvarianttheory, I.DOLGACHEV
297 Thehomotopycategoryofsimplyconnected4-manifolds, H.-J.BAUES
298 HigherOperads,highercategories, T.LEINSTER
299 Kleiniangroupsandhyperbolic3-manifolds, Y.KOMORI,V.MARKOVIC&C.SERIES(eds)
300 IntroductiontoM¨obiusdifferentialgeometry, U.HERTRICH-JEROMIN
301 StablemodulesandtheD(2)-problem, F.E.A.JOHNSON
302 DiscreteandcontinousnonlinearSchr¨odingersystems, M.ABLOWITZ,B.PRINARI&
D.TRUBATCH
304 GroupsStAndrews2001inOxfordv1, C.M.CAMPBELL,E.F.ROBERTSON
&G.C.SMITH(eds)
305 GroupsStAndrews2001inOxfordv2, C.M.CAMPBELL,E.F.ROBERTSON
&G.C.SMITH(eds)
London Mathematical Society Lecture Note Series. 304
Groups St Andrews 2001
in Oxford
Volume I
Editedby
C.M.Campbell
UniversityofStAndrews
E.F.Robertson
UniversityofStAndrews
G.C.Smith
UniversityofBath
  
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge  , United Kingdom
Published in the United States by Cambridge University Press, New York
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© Cambridge University Press 2003
This book is in copyright. Subject to statutory exception and to the provision of
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First published in print format 2003
ISBN-13 978-0-511-06560-6 eBook
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Contents of Volume 1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Permutability and subnormality in finite groups
M J Alejandre, A Ballester-Bolinches,
R Esteban-Romero & M C Pedraza-Aguilera. . . . . . . . . . . . . . 1
(Pro)-finite and (topologically) locally finite groups
with a CC-subgroup
Z Arad & W Herfort. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Table algebras generated by elements of small degrees
Z Arad & M Muzychuk . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Subgroups which are a union of a given number of
conjugacy classes
A R Ashrafi & H Sahraei . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Some results on finite factorized groups
A Ballester-Bolinches, J Cossey, X Guo
& M C Pedraza-Aguilera . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
On nilpotent-like Fitting formations
A Ballester-Bolinches, A Mart´ınez-Pastor,
M C Pedraza-Aguilera & M D P´erez-Ramos . . . . . . . . . . . . . 31
Locally finite groups with min-p for all primes p
A Ballester-Bolinches & T Pedraza . . . . . . . . . . . . . . . . . . . 39
Quasi-permutation representations of 2-groups of
class 2 with cyclic centre
H Behravesh. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
v
vi CONTENTS: VOLUME 1
Groups acting on bordered Klein surfaces with
maximal symmetry
E Bujalance, F J Cirre & P Turbek . . . . . . . . . . . . . . . . . . . 50
Breaking points in subgroup lattices
G Calugareanu & M Deaconescu . . . . . . . . . . . . . . . . . . . . . 59
Group actions on graphs, maps and surfaces with
maximum symmetry
M D E Conder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
On dual pronormal subgroups and Fitting classes
A D’Aniello & M D P´erez-Ramos . . . . . . . . . . . . . . . . . . . . 92
(p,q,r)-generations of the sporadic group O’N
M R Darafsheh, A R Ashrafi & G A Moghani. . . . . . . . . . . 101
Computations with almost-crystallographic groups
K Dekimpe & B Eick. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
Random walks on groups: characters and geometry
P Diaconis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
On distances of 2-groups and 3-groups
A Dr´apal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
Zeta functions of groups: the quest for order versus
the flight from ennui
M P F du Sautoy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150
Some factorizations involving hypercentrally embedded
subgroups in finite soluble groups
L M Ezquerro & X Soler-Escriva` . . . . . . . . . . . . . . . . . . . . 190
Elementary theory of groups
B Fine, A M Gaglione, A G Myasnikov,
G Rosenberger & D Spellman. . . . . . . . . . . . . . . . . . . . . . . 197
Andrews-Curtis and Todd-Coxeter proof words
G Havas & C Ramsay . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232
CONTENTS: VOLUME 1 vii
Short balanced presentations of perfect groups
G Havas & C Ramsay . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238
Finite p-extensions of free pro-p groups
W Herfort & P A Zalesskii . . . . . . . . . . . . . . . . . . . . . . . . 244
Elements and groups of finite length
M Herzog, P Longobardi & M Maj . . . . . . . . . . . . . . . . . . . 249
Logged rewriting and identities among relators
A Heyworth & C D Wensley . . . . . . . . . . . . . . . . . . . . . . . 256
A characterization of F (q) where q is an odd prime power
4
A Iranmanesh & B Khosravi . . . . . . . . . . . . . . . . . . . . . . . 277
On associated groups of rings
Y B Ishchuk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 284
Contents of Volume 2
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Gracefulness, group sequencings and graph factorizations
G Kaplan, A Lev & Y Roditty . . . . . . . . . . . . . . . . . . . . . . 295
Orbits in finite group actions
T M Keller. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 306
Groups with finitely generated integral homologies
D H Kochloukova . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332
Invariantsofdiscretegroups,Liealgebrasandpro-pgroups
D H Kochloukova . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344
Groups with all non-subnormal subgroups of finite rank
L A Kurdachenko & P Soules . . . . . . . . . . . . . . . . . . . . . . 366
On some infinite dimensional linear groups
L A Kurdachenko & I Y Subbotin. . . . . . . . . . . . . . . . . . . . 377
Groups and semisymmetric graphs
S Lipschutz & Ming-Yao Xu . . . . . . . . . . . . . . . . . . . . . . . 385
On the covers of finite groups
M S Lucido . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 395
Groupland
O Macedon´ska. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400
On maximal nilpotent π-subgroups
J Medina . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405
viii