Groups St Andrews 2017 in Birmingham

C. M. Campbell, C. W. Parker, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal

• Publisher: Cambridge University Press
• Year: 2019
• Print ISBN: 9781108728744
• eBook ISBN: 9781108578691
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Initially held in St Andrews, these meetings have become the premier forum for group theory across the whole of the UK. Since 1981, the proceedings of 'Groups St Andrews' 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 papers from the 2017 meeting held in Birmingham. It includes expository articles from the invited speakers, and further surveys contributed by the participants. Topics include: generation of finite simple groups, block theory, fusion systems, algebraic groups, one-relator groups, geometric group theory, and Beauville groups.

Table of contents

• Cover
• Series page
• Title page
• Copyright page
• Contents
• Introduction
• Finite simple groups and fusion systems
• Finite and infinite quotients of discrete and indiscrete groups
• Local-global conjectures and blocks of simple groups
• A survey on some methods of generating finite simple groups
• One-relator groups: an overview
• New progress in products of conjugacy classes in finite groups
• Aspherical relative presentations all over again
• Simple groups, generation and probabilistic methods
• Irreducible subgroups of simple algebraic groups – a survey
• Practical computation with linear groups over infinite domains
• Beauville p-groups: a survey
• Structural criteria in factorised groups via conjugacy class sizes
• Growth in linear algebraic groups and permutation groups: towards a unified perspective
• L2-Betti numbers and their analogues in positive characteristic
• On the pronormality of subgroups of odd index in finite simple groups
• Vertex stabilizers of graphs with primitive automorphism groups and a strong version of the Sims conjecture
• On the character degrees of a Sylow p-subgroup of a finite Chevalley group G(pf) over a bad prime
• Patterns on symmetric Riemann surfaces
• Subgroups of twisted wreath products
• Some remarks on self-dual codes invariant under almost simple permutation groups
• Test elements: from pro-p to discrete groups