Groups St Andrews 2005

by Edited by C. M. Campbell , M. R. Quick , E. F. Robertson , G. C. Smith

• ISBN13: 9780521694704
• ISBN10: 0521694701
• Edition: 1st
• Format: Paperback
• Copyright: 2007-02-05
• Publisher: Cambridge University Press

Summary

'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions by John Meakin (Lincoln, Nebraska) and Ákos Seress (Ohio State). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 25 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important.

Table of Contents

Introduction	p. xi
Aspects of infinite permutation groups	p. 1
Self-similarity and branching in group theory	p. 36
On surface groups: motivating examples in combinatorial group theory	p. 96
Nilpotent p-algebras and factorized p-groups	p. 130
Classification of finite groups by the number of element centralizers	p. 148
Algorithmic use of the Mal'cev correspondence	p. 158
Minimal but inefficient presentations for semi-direct products of finite cyclic monoids	p. 170
The modular isomorphism problem for finite p-groups with a cyclic subgroup of index p[superscript 2]	p. 186
On one-generated formations	p. 194
New results on products of finite groups	p. 199
Radical locally finite T-groups	p. 203
Explicit tilting complexes for the Broue conjecture on 3-blocks	p. 207
Conjugacy classes of p-regular elements in p-solvable groups	p. 224
An algorithm for the unit group of the Burnside ring of a finite group	p. 230
Integral group ring of the first Mathieu simple group	p. 237
Embedding properties in direct products	p. 246
Malcev presentations for subsemigroups of groups - a survey	p. 256
Finite groups with extremal conditions on sizes of conjugacy classes and on degrees of irreducible characters	p. 269
Conjugacy class structure in simple algebraic groups	p. 274
On automorphisms of products of groups	p. 288
Linear groups with infinite central dimension	p. 306
G-automata, counter languages and the Chomsky hierarchy	p. 313
An embedding theorem for groups universally equivalent to free nilpotent groups	p. 319
Irreducible word problems in groups	p. 327
Recent growth results	p. 341
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