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El. knyga: Groups St Andrews 2009 in Bath: Volume 1

Edited by (University of St Andrews, Scotland), Edited by (University of Bath), Edited by (University of Bath), Edited by (University of St Andrews, Scotland), 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 first 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 Gerhard Hiss (RWTH Aachen) and Volodymyr Nekrashevych (Texas A&M). 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
A speech in honour of John Cannon and Derek Holt
xi
Charles Leedham-Green
Finite groups of Lie type and their representations
1(40)
Gerhard Hiss
Iterated monodromy groups
41(53)
Volodymyr Nekrashevych
Engel elements in groups
94(24)
Alireza Abdollahi
Some classes of finite semigroups with kite-like egg-boxes of D-classes
118(6)
K. Ahmadidelir
H. Doostie
Structure of finite groups having few conjugacy class sizes
124(9)
Antonio Beltran
Maria Jose Felipe
Group theory in cryptography
133(17)
Simon R. Blackburn
Carlos Cid
Ciaran Mullan
A survey of recent results in groups and orderings: word problems, embeddings and amalgamations
150(11)
V. V. Bludov
A. M. W. Glass
A survey on the minimum genus and maximum order problems for bordered Klein surfaces
161(22)
E. Bujalance
F. J. Cirre
J. J. Etayo
G. Gromadzki
E. Martinez
On one-relator quotients of the modular group
183(15)
Marston Conder
George Havas
M. F. Newman
Miscellaneous results on supersolvable groups
198(15)
K. Corradi
P. Z. Hermann
L. Hethelyi
E. Horvath
Automorphisms of products of finite groups
213(11)
M. John Curran
A rational property of the irreducible characters of a finite group
224(4)
M. R. Darafsheh
A. Iranmanesh
S. A. Moosavi
Automotives
228(16)
Marian Deaconescu
Gary Walls
On n-abelian groups and their generalizations
244(12)
Costantino Delizia
Antonio Tortora
Computing with matrix groups over infinite fields
256(15)
A. S. Detinko
B. Eick
D. L. Flannery
Trends in infinite dimensional linear groups
271(12)
Martyn R. Dixon
Leonid A. Kurdachenko
Jose M. Munoz-Escolano
Javier Otal
Engel conditions on orderable groups and in combinatorial problems (a survey)
283
Marcel Herzog
Patrizia Longobardi
Mercede Maj
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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