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El. knyga: Groups St Andrews 2009 in Bath: Volume 2

Edited by (University of St Andrews, Scotland), Edited by (University of Bath), Edited by (University of St Andrews, Scotland), Edited by (University of Bath), Edited by (University of St Andrews, Scotland), Edited by (University of St Andrews, Scotland)
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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.

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Surveys areas of current research activity in a wide range of group theory and related areas.
Introduction ix
Algorithms for matrix groups
297(27)
E. A. O'Brien
Residual properties of 1-relator groups
324(20)
Mark Sapir
Words and groups
344(31)
Dan Segal
The modular isomorphism problem for the groups of order 512
375(9)
Bettina Eick
Alexander Konovalov
Recent progress in the symmetric generation of groups
384(11)
Ben Fairbairn
Discriminating groups: a comprehensive overview
395(20)
Benjamin Fine
Anthony M. Gaglione
Alexei Myasnikov
Gerhard Rosenberger
Dennis Spellman
Extending the Kegel Wielandt theorem through π-decomposable groups
415(9)
L. S. Kazarin
A. Martinez-Pastor
M. D. Perez-Ramos
On the prime graph of a finite group
424(5)
Behrooz Khosravi
Applications of Lie rings with finite cyclic grading
429(19)
E. I. Khukhro
Pronormal subgroups and transitivity of some subgroup properties
448(13)
Leonid A. Kurdachenko
Javier Otal
Igor Ya. Subbotin
On Engel and positive laws
461(12)
O. Macedonska
W. Tomaszewski
Maximal subgroups of odd index in finite groups with simple classical socle
473(6)
N. V. Maslova
Some classic and nearly classic problems on varieties of groups
479(9)
Peter M. Neumann
Generalizations of the Sylow theorem
488(32)
Danila O. Revin
Evgeny P. Vdovin
Engel groups
520(31)
Gunnar Traustason
Lie methods in Engel groups
551(9)
Michael Vaughan-Lee
On the degree of commutativity of p-groups of maximal class
560(9)
A. Vera-Lopez
M. A. Garcia-Sanchez
Class preserving automorphisms of finite p-groups: a survey
569(11)
Manoj K. Yadav
Symmetric colorings of finite groups
580
Yuliya Zelenyuk
C. M. Campbell is an Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews. M. R. Quick is a Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews. E. F. Robertson is Professor Emeritus in the School of Mathematics and Statistics at the University of St Andrews. C. M. Roney-Dougal is a Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews. G. C. Smith is a Senior Lecturer in the Department of Mathematical Sciences at the University of Bath. G. Traustason is a Reader in the Department of Mathematical Sciences at the University of Bath.
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