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Full Description
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.
Contents
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.
