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Geometric and Cohomological Group Theory

$70.00 (C)

Part of London Mathematical Society Lecture Note Series

Peter H. Kropholler, Ian J. Leary, Conchita Martínez-Pérez, Brita E. A. Nucinkis, José Burillo, Sean Cleary, Claas E. Röver, Ioannis Emmanouil, Daniel S. Farley, Bruce Hughes, Ross Geoghegan, Marco Varisco, Robert Kropholler, Yash Lodha, Jon McCammond, Volodymyr Nekrashevych, Olympia Talelli, Mark Ullmann
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  • Date Published: November 2017
  • availability: Available
  • format: Paperback
  • isbn: 9781316623220

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About the Authors
  • 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.

    • Summarizes the state of the art in geometric and cohomological group theory
    • A useful introduction to the field for non-experts
    • Derived from excellent surveys presented at the London Mathematical Society Durham Symposium
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    Product details

    • Date Published: November 2017
    • format: Paperback
    • isbn: 9781316623220
    • length: 276 pages
    • dimensions: 228 x 152 x 15 mm
    • weight: 0.42kg
    • contains: 50 b/w illus.
    • availability: Available
  • Table of 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.

  • Editors

    Peter H. Kropholler, University of Southampton
    Peter Kropholler is Professor of Pure Mathematics at the University of Southampton.

    Ian J. Leary, University of Southampton
    Ian Leary is Professor of Pure Mathematics at the University of Southampton.

    Conchita Martínez-Pérez, Universidad de Zaragoza
    Conchita Martínez-Pérez is Professor of Pure Mathematics at the University of Zaragoza.

    Brita E. A. Nucinkis, Royal Holloway, University of London
    Brita Nucinkis is Professor of Mathematics at Royal Holloway, University of London.

    Contributors

    Peter H. Kropholler, Ian J. Leary, Conchita Martínez-Pérez, Brita E. A. Nucinkis, José Burillo, Sean Cleary, Claas E. Röver, Ioannis Emmanouil, Daniel S. Farley, Bruce Hughes, Ross Geoghegan, Marco Varisco, Robert Kropholler, Yash Lodha, Jon McCammond, Volodymyr Nekrashevych, Olympia Talelli, Mark Ullmann

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