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 O'Brien (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.

Introduction
Algorithms for matrix groups
Residual properties of 1-relator groups
Words and groups
The modular isomorphism problem for the groups of order 512
Recent progress in the symmetric generation of groups
Discriminating groups: a comprehensive overview
Extending the Kegel-Wielandt theorem through ¿-decomposable groups
On the prime graph of a finite group
Applications of Lie rings with finite cyclic grading
Pronormal subgroups and transitivity of some subgroup properties Leonid
On Engel and positive laws
Maximal subgroups of odd index in finite groups with simple classical socle
Some classic and nearly classic problems on varieties of groups
Generalizations of the Sylow theorem
Engel groups
Lie methods in Engel groups
On the degree of commutativity of p-groups of maximal class
Class preserving automorphisms of finite p-groups: a survey
Symmetric colorings of finite groups
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Groups St Andrews 2009 in Bath

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