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.
About the Author
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.
Table of Contents
Introduction C. M. Campbell and E. F. Robertson; A speech in honour of John Cannon and Derek Holt Charles Leedham-Green; 1. Finite groups of Lie type and their representations Gerhard Hiss; 2. Iterated monodromy groups Volodymyr Nekrashevych; 3. Engel elements in groups Alireza Abdollahi; 4. Some classes of finite semigroups with kite-like egg-boxes of D-classes K. Ahmadidelir and H. Doostie; 5. Structure of finite groups having few conjugacy class sizes Antonio Beltrán and María José Felipe; 6. Group theory in cryptography Simon R. Blackburn, Carlos Cid and Ciaran Mullan; 7. A survey of recent results in groups and orderings: word problems, embeddings and amalgamations V. V. Bludov and A. M. W. Glass; 8. A survey on the minimum genus and maximum order problems for bordered Klein surfaces E. Bujalance, F. J. Cirre, J. J. Etayo, G. Gromadzki and E. Martínez; 9. On one-relator quotients of the modular group Marston Conder, George Havas and M. F. Newman; 10. Miscellaneous results on supersolvable groups K. Corrádi, P. Z. Hermann, L. Héthelyi and E. Horváth; 11. Automorphisms of products of finite groups M. John Curran; 12. A rational property of the irreducible characters of a finite group M. R. Darafsheh, A. Iranmanesh and S. A. Moosavi; 13. Automotives Marian Deaconescu and Gary Walls; 14. On n-abelian groups and their generalizations Costantino Delizia and Antonio Tortora; 15. Computing with matrix groups over infinite fields A. S. Detinko, B. Eick and D. L. Flannery; 16. Trends in infinite dimensional linear groups Martyn R. Dixon, Leonid A. Kurdachenko, Jose M. Muñoz-Escolano and Javier Otal; 17. Engel conditions on orderable groups and in combinatorial problems (a survey) Marcel Herzog, Patrizia Longobardi and Mercede Maj.