Geometric and Cohomological Group Theory

Peter H. Kropholler, Ian J. Leary, Conchita Martínez-Pérez, Brita E. A. Nucinkis

• Publisher: Cambridge University Press
• Year: 2017
• ISBN:
  9781108548878
• Topic: Mathematik
• Subtopic: Algebra

This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connections to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic. Topics include various constructions of Thompson-like groups, Wise's theory of special cube complexes, groups with exotic homological properties, the Farrell–Jones assembly conjectures and new applications of Garside structures. Its mixture of surveys and research makes this book an excellent entry point for young researchers as well as a useful reference work for experts in the field. This is the proceedings of the 100th meeting of the London Mathematical Society series of Durham Symposia.

Table of contents

• Cover
• Series page
• Title page
• Copyright page
• Contents
• List of Participants
• Preface
• Obstructions for subgroups of Thompson’s group V
• Groups of homological dimension one
• Braided diagram groups and local similarity groups
• On Thompson’s group T and algebraic K-theory
• Special cube complexes (based on lectures of Piotr Przytycki)
• A hyperbolic group with a finitely presented subgroupthat is not of type FP[sub(3)]
• The structure of Euclidean Artin groups
• Finitely presented groups associated with expanding maps
• On characteristic modules of groups
• Controlled algebra for simplicial rings and algebraic K-theory