This volume arises from the 2022 edition of the long-running 'Groups St Andrews' conference series and consists of expository papers from leading researchers in all areas of group theory. It provides a snapshot of the state of the art in the field, and will be a valuable resource for researchers and graduate students.
Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of these 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 2022 meeting held in Newcastle. It includes substantial survey articles from the invited speakers, namely the mini course presenters Michel Brion, Fanny Kassel and Pham Huu Tiep; and the invited one-hour speakers Bettina Eick, Scott Harper and Simon Smith. It features these alongside contributed survey articles, including some new results, to provide an outstanding resource for graduate students and researchers.
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An excellent overview of the latest developments in group theory and related areas, suitable for researchers and graduate students.
Introduction;
1. Finite group schemes Michel Brion;
2. Algorithms for
polycyclic groups Bettina Eick;
3. The spread of finite and infinite groups
Scott Harper;
4. Discrete subgroups of semisimple Lie groups, beyond lattices
Fanny Kassel;
5. Complete reducibility and subgroups of exceptional algebraic
groups Alastair J. Litterick, David I. Stewart and Adam R. Thomas;
6. Axial
algebras of Jordan and Monster type Justin McInroy and Sergey Shpectorov;
7.
An introduction to the local-to-global behaviour of groups acting on trees
and the theory of local action diagrams Colin D. Reid and Simon M. Smith;
8.
Finite groups and the class-size prime graph revisited Vķctor Sotomayor;
9.
Character bounds for finite simple groups and applications Pham Huu Tiep;
10.
Generalized BaumslagSolitar groups: a topological approach Mathew Timm.
C. M. Campbell is Honorary Reader in the School of Mathematics and Statistics at the University of St Andrews. M. R. Quick is Senior Lecturer in the School of Mathematics and Statistics at the University of St Andrews. E. F. Robertson is Emeritus Professor in the School of Mathematics and Statistics at the University of St Andrews. C. M. Roney-Dougal is Professor of Pure Mathematics in the School of Mathematics and Statistics at the University of St Andrews. D. I. Stewart is Reader in the Department of Mathematics at the University of Manchester.
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