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Informationen zum Autor 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. Klappentext Surveys areas of current research activity in a wide range of group theory and related areas. Zusammenfassung This first volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas! including Gerhard Hiss and Volodymyr Nekrashevych! survey the latest developments in algebra. Inhaltsverzeichnis 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....