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Beyond hyperbolicity

Author: Mark Hagen; Richard Webb; Henry Wilton
Publisher: Cambridge ; New York, NY : Cambridge University Press, 2019. ©2019
Series: London Mathematical Society lecture note series, 454.
Edition/Format:   Print book : EnglishView all editions and formats
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'  Read more...
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Document Type: Book
All Authors / Contributors: Mark Hagen; Richard Webb; Henry Wilton
ISBN: 9781108447294 1108447295
OCLC Number: 1089840702
Description: x, 231 pages : illustrations ; 23 cm.
Contents: Preface; Part I. Lectures: 1. Notes on coarse median spaces Brian H. Bowditch; 2. Semihyperbolicity Martin R. Bridson; 3. Acylindrically hyperbolic groups Benjamin Barrett; Part II. Expository Articles: 4. A survey on Morse boundaries and stability Matthew Cordes; 5. What is a hierarchically hyperbolic space? Alessandro Sisto; Part III. Research Articles: 6. A counterexample to questions about boundaries, stability, and commensurability Jason Behrstock; 7. A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes Indira Chatterji and Alexandre Martin; 8. Immutability is not uniformly decidable in hyperbolic groups Daniel Groves and Henry Wilton; 9. Sphere systems, standard form, and cores of products of trees Francesca Iezzi; 10. Uniform quasiconvexity of the disc graphs in the curve graphs Kate M. Vokes.
Series Title: London Mathematical Society lecture note series, 454.
Responsibility: edited by Mark Hagen, Richard Webb, Henry Wilton.

Abstract:

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  Read more...

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