Geometric and Cohomological Group Theory

Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.

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

9781316623220, Cambridge University Press

Paperback / softback, published 19 October 2017

276 pages, 50 b/w illus.
22.8 x 15.2 x 1.5 cm, 0.41 kg

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.

Preface Peter H. Kropholler, Ian J. Leary, Conchita Martínez-Pérez and Brita E. A. Nucinkis
Obstructions for subgroups of Thompson's group V José Burillo, Sean Cleary and Claas E. Röver
Groups of homological dimension one Ioannis Emmanouil
Braided diagram groups and local similarity groups Daniel S. Farley and Bruce Hughes
On Thompson's group T and algebraic K-theory Ross Geoghegan and Marco Varisco
Special cube complexes Robert Kropholler
A hyperbolic group with a finitely presented subgroup that is not of type FP3 Yash Lodha
The structure of euclidean Artin groups Jon McCammond
Finitely presented groups associated with expanding maps Volodymyr Nekrashevych
On characteristic modules of groups Olympia Talelli
Controlled algebra for simplicial rings and algebraic K-theory Mark Ullmann.

Subject Areas: Topology [PBP], Geometry [PBM], Groups & group theory [PBG], Algebra [PBF]