This first volume of a two-volume book contains selected papers from the international conference 'Groups St Andrews 2005'. Contributions by Peter Cameron and Rostislav Grogorchuk are included, as are survey and research articles by other conference participants, to provide a snapshot of the state of research in group theory today.
'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this first 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 Peter Cameron (Queen Mary, London) and Rostislav Grogorchuk (Texas A&M, USA). 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.
Daugiau informacijos
Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.
Introduction;
1. Aspects of infinite permutation groups Peter J.
Cameron;
2. Self-similarity and branching in group theory Rostislav
Grigorchuk and Zoran Sunic;
3. On surface groups: motivating examples in
combinatorial group theory Peter Ackermann, Benjamin Fine and Gerhard
Rosenberger;
4. Nilpotent p-algebras and factorized p-groups Bernhard Amberg
and Lev Kazarin;
5. Classification of finite groups by the number of element
centralizers Ali Reza Ashrafi and Bijan Taeri;
6. Algorithmic use of the
Mal'cev correspondence Bjoern Assmann;
7. Minimal but inefficient
presentations for semi-direct products of finite cyclic monoids Firat Ates
and A. Sinan Ē evik;
8. The modular isomorphism problem for finite p-groups
with a cyclic subgroup of index p2 Czeslaw Baginski and Alexander Konovalov;
9. On one-generated formations A. Ballester-Bolinches, Clara Calvo and R.
Esteban-Romero;
10. New results on products of finite groups A.
Ballester-Bolinches, John Cossey and M. C. Pedraza-Aguilera;
11. Radical
locally finite T-groups A. Ballester-Bolinches, H. Heineken and Tatiana
Pedraza;
12. Explicit tilting complexes for the Broué conjecture on 3-blocks
Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal
Cohen and Mary Schaps;
13. Conjugacy classes of p-regular elements in
p-solvable groups Antonio Beltrįn and Maria José Felipé;
14. An algorithm for
the unit group of the Burnside ring of a finite group Robert Boltje and Götz
Pfeiffer;
15. Integral group ring of the first Mathieu simple group Victor
Bovdi and Alexander Konovalov;
16. Embedding properties in direct products B.
Brewster, A. Martinez-Pastor and M. D. Pérez-Ramos;
17. Malcev presentations
for subsemigroups of groups - a survey Alan J. Cain;
18. Finite groups with
extremal conditions on sizes of conjugacy classes and on degrees of
irreducible characters David Chillag and Marcel Herzog;
19. Conjugacy class
structure in simple algebraic groups Martin Cook;
20. On automorphisms of
products of groups Jill Dietz;
21. Linear groups with infinite central
dimension Martyn R. Dixon and Leonid A. Kurdachenko;
22. G-automata, counter
languages and the Chomsky hierarchy Murray Elder;
23. An embedding theorem
for groups universally equivalent to free nilpotent groups Benjamin Fine,
Anthony M. Gaglione and Dennis Spellman;
24. Irreducible word problems in
groups Ana R. Fonseca, Duncan W. Parkes and Richard M. Thomas;
25. Recent
growth results Eric M. Freden and Teresa Knudson.
Colin Campbell is a Reader in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews. Martyn Quick is a Lecturer in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews. Edmund Robertson is a Professor of Mathematics at the School of Mathematics and Statistics, University of St Andrews. Geoff Smith is a Senior Lecturer at the Department of Mathematical Sciences, University of Bath.
