Title Geometric and cohomological group theory / edited by Peter H. Kropholler, University of Southampton ; Ian J. Leary, University of Southampton ; Conchita Martínez-Pérez, Universidad de Zaragoza ; Brita E.A. Nucinkis, Royal Holloway, University of London

Published Cambridge ; New York : Cambridge University Press, 2018 ©2018

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Description 1 online resource (x, 266 pages) : illustrations Series London Mathematical Society lecture note series ; 444 London Mathematical Society lecture note series ; 444. Contents 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 Summary 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 Notes "This proceedings volume results from the fouth London Mathematical Society Durham Symposium [held in 2013] of an influential series that belongs to the mathematical territory that we now see as part of geometric group theory."--Page ix Bibliography Includes bibliographical references Notes Print version record Subject Geometric group theory -- Congresses Homology theory -- Congresses MATHEMATICS -- Algebra -- Intermediate. Teoría de grupos Álgebra homológica Homología, Teoría de Geometric group theory Homology theory Genre/Form Conference papers and proceedings Form Electronic book Author Kropholler, Peter H., 1957- editor. Leary, Ian J., editor Martínez-Pérez, Conchita, editor Nucinkis, Brita E. A., editor London Mathematical Society Symposium on Geometry and Cohomology in Group Theory (4th : 2013 : Durham, England) ISBN 9781316771327 1316771326 9781108548878 1108548873

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