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Full Description
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.
Contents
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 Víctor Sotomayor; 9. Character bounds for finite simple groups and applications Pham Huu Tiep; 10. Generalized Baumslag-Solitar groups: a topological approach Mathew Timm.
