Groups St Andrews 2009 in Bath

Groups St Andrews 2009 was held in the University of Bath in August 2009 and this second volume of a two-volume book contains selected papers from the international conference. Five 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 Eammon OBrien (Auckland), Mark Sapir (Vanderbilt) and Dan Segal (Oxford). 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 30 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.

Spis treści:
Introduction C. M. Campbell and E. F. Robertson
1. Algorithms for matrix groups E. A. OBrien
2. Residual properties of 1-relator groups Mark Sapir
3. Words and groups Dan Segal
4. The modular isomorphism problem for the groups of order 512 Bettina Eick and Alexander Konovalov
5. Recent progress in the symmetric generation of groups Ben Fairbairn
6. Discriminating groups, a comprehensive overview Benjamin Fine, Anthony M. Gaglione, Alexei Myasnikov, Gerhard Rosenberger and Dennis Spellman
7. Extending the Kegel–Wielandt theorem through π-decomposable groups L. S. Kazarin, A. Martínez-Pastor and M. D. Pérez-Ramos
8. On the prime graph of a finite group Behrooz Khosravi
9. Applications of Lie rings with finite cyclic grading E. I. Khukhro
10. Pronormal subgroups and transitivity of some subgroup properties Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin
11. On Engel and positive laws O. Macedońska and W. Tomaszewski
12. Maximal subgroups of odd index in finite groups with simple classical socle N. V. Maslova
13. Some classic and nearly classic problems on varieties of groups Peter M. Neumann
14. Generalizations of the Sylow theorem Danila O. Revin and Evgeny P. Vdovin
15. Engel groups Gunnar Traustason
16. Lie methods in Engel groups Michael Vaughan-Lee
17. On the degree of commutativity of p-groups of maximal class A. Vera-López and M. A. García-Sánchez
18. Class preserving automorphisms of finite p-groups, a survey Manoj K. Yadav
19. Symmetric colorings of finite groups Yuliya Zelenyuk.