Groups St Andrews 2013

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

• Publisher: Cambridge University Press
• Year: 2015
• Print ISBN: 9781107514546
• eBook ISBN: 9781316468913
• Topic: Matemáticas
• Subtopic: Álgebra

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.

Table of contents

• Cover
• Series page
• Title page
• Copyright page
• Contents
• Introduction
• Approximate subgroups and super-strong approximation
• Width questions for finite simple groups
• Profinite properties of discrete groups
• GL(n, Z), Out(F[sub(n)]) and everything in between: automorphism groups of RAAGs
• Permutation groups and transformation semigroups: results and problems
• New progress on factorized groups and subgroup permutability
• A survey on the normalizer problem for integral group rings
• A survey on Clifford-Fischer theory
• A generalisation on the solvability of finite groups with three class sizes for normal subgroups
• Automorphism groups of non-orientable Riemann surfaces
• What are the C[sub(2)]-groups?
• Resurrecting Wells’ exact sequence and Buckley’s group action
• Recent work on Beauville surfaces, structures and groups
• Something for nothing: some consequences of the solution of the Tarski problems
• The groups of projectivities in finite planes
• On the relation gap and relation lifting problem
• Some results on products of finite subsets in groups
• Formal languages and group theory
• On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
• Recent advances on torsion subgroups of integral group rings
• On finite groups with small prime spectrum
• Solvability criteria for finite loops and groups
• The rational subset membership problem for groups: a survey
• A survey of Milnor laws
• Capable p-groups
• On the normal structure of a finite group with restrictions on the maximal subgroups
• Certain monomial characters and their normal constituents
• Recognition of finite quasi-simple groups by the degrees of their irreducible representations
• Generalized Baumslag-Solitar groups: a survey of recent progress
• Zeta functions of groups and rings – recent developments