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. Read more...
Abstract:
This volume summarizes exciting recent developments in geometric and cohomological group theory. It contains research articles and surveys that demonstrate connections with topology, analysis, algebra and logic. The book is an excellent entry point for new researchers and a useful reference work for experts. Read more...
Author(s): Kropholler, Peter H.; Leary, Ian J.; Martínez-Pérez, Conchita; Nucinkis, Brita E.A et al. (eds.)
Series: London Mathematical Society lecture note series 444
Publisher: Cambridge University Press
Year: 2018
Language: English
Pages: 266
City: Durham, England
Tags: Geometric group theory -- Congresses.;Homology theory -- Congresses.;Geometric group theory.;Homology theory.;MATHEMATICS / Algebra / Intermediate.
Content: 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 (based on lectures of Piotr Przytycki) / Robert P. 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 Nekrasheyvych --
On characteristic modules of groups / Olympia Talelli --
Controlled algebra for simplicial rings and algebraic K-theory.
