Beyond Hyperbolicity by Mark Hagen - ISBN: 9781108447294
Paperback
This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics ‘beyond hyperbolicity’: these can be used as an introduction for students or as a reference for experts. The final part contains research articles on the l…

$192.35

  • Paperback

    440 pages

  • Release Date

    11 July 2019

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Summary

Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go ‘beyond hyperbolicity’ to find good generalisations that nevertheless permit similarly strong results.…

Book Details

ISBN-13:9781108447294
ISBN-10:1108447295
Author:Mark Hagen, Richard Webb, Henry Wilton
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:440
Release Date:11 July 2019
Weight:380g
Dimensions:228mm x 152mm x 15mm
Series:London Mathematical Society Lecture Note Series
What They're Saying

Critics Review

‘The articles in this collection take the reader on a journey from foundational examples and definitions to state-of-the-art theorems and actively researched open problems … Students and those wanting to enter these fields of specialization will want to return to the surveys and expositions for inspiration as they engage with more specialized literature.’ Robert Bell, MAA Reviews

About The Author

Mark Hagen

Mark Hagen is a Lecturer in Mathematics at the University of Bristol. His interests lie in geometric group theory, including in particular cubical/median geometry, mapping class groups, and their coarse-geometric generalisations. Richard Webb is an EPSRC Postdoctoral Fellow at the University of Cambridge and a Stokes Research Fellow at Pembroke College. He investigates the algebra and geometry of the mapping class group and its relatives, often using techniques and inspiration drawn from geometric group theory. Henry Wilton is a Reader in Pure Mathematics at the University of Cambridge and a Fellow of Trinity College. He works in the fields of geometric group theory and low-dimensional topology. His interests include the subgroup structure of hyperbolic groups, questions of profinite rigidity, decision problems, and properties of 3-manifold groups.

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