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Acylindrical hyperbolicity of groups acting on trees

Acylindrical hyperbolicity of groups acting on trees
Acylindrical hyperbolicity of groups acting on trees
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and graph products. Acylindrical hyperbolicity is then used to obtain some results about the algebraic structure, analytic properties and measure equivalence rigidity of groups from these classes
0025-5831
1055-1105
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Osin, Denis
32a9932c-f439-4b83-b639-1a53ac6bf6f5
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Osin, Denis
32a9932c-f439-4b83-b639-1a53ac6bf6f5

Minasyan, Ashot and Osin, Denis (2015) Acylindrical hyperbolicity of groups acting on trees. Mathematische Annalen, 362 (3), 1055-1105. (doi:10.1007/s00208-014-1138-z).

Record type: Article

Abstract

We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and graph products. Acylindrical hyperbolicity is then used to obtain some results about the algebraic structure, analytic properties and measure equivalence rigidity of groups from these classes

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acyl-trees-Dec-9-2014.pdf - Accepted Manuscript
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Accepted/In Press date: 7 November 2014
e-pub ahead of print date: 5 December 2014
Published date: August 2015
Related URLs:
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 363217
URI: http://eprints.soton.ac.uk/id/eprint/363217
DOI: doi:10.1007/s00208-014-1138-z
ISSN: 0025-5831
PURE UUID: ad545217-b6d8-4288-bc51-3dcc98cdc0a1
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

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Date deposited: 21 Mar 2014 11:40
Last modified: 15 Mar 2024 03:29

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Contributors

Author: Ashot Minasyan ORCID iD
Author: Denis Osin

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