Groups St Andrews 2017 in Birmingham (London Mathematical Society Lecture Note Series)

Description

This volume arises from the 2017 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 it will be a valuable resource for researchers and graduate students. Contents Introduction Finite simple groups and fusion systems Finite and infinite quotients of discrete and indiscrete groups Local-global conjectures and blocks of finite 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