Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.
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C. M. Campbell is an Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews and has co-organised all nine of the Groups St Andrews conferences. He has authored more than 90 research articles and he served as President of the Edinburgh Mathematical Society from 2005 to 2007.
M. R. Quick is a Senior Lecturer in Pure Mathematics at the University of St Andrews and has co-organised three Groups St Andrews conferences. He is currently Editor of the Proceedings of the Edinburgh Mathematical Society and he has authored more than twenty research papers.
E. F. Robertson is Professor Emeritus at the University of St Andrews. He has published over 120 research papers and written more than twenty books. During his career Professor Robertson has co-organised ten major international Group Theory conferences and received fourteen major research grants totalling over one million pounds. He also served as Chairman of the British Mathematical Colloquium Scientific Committee from 2005 to 2008.
C. M. Roney-Dougal is Reader in Pure Mathematics at the University of St Andrews. She has produced over thirty academic publications and has jointly organised seven international workshops and conferences. Professor Roney-Dougal serves as an editorial advisor for the London Mathematical Society Journal of Computation and Mathematics. She also makes regular appearances on 'In Our Time' with Melvyn Bragg (BBC Radio 4).
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