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An obstruction to the strong relative hyperbolicity of a group

An obstruction to the strong relative hyperbolicity of a group
An obstruction to the strong relative hyperbolicity of a group
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups.
1433-5883
749-756
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Aramayona, Javier
3291de41-c6c0-465a-9af5-7bbafef74784
Shackleton, Kenneth J.
622c576e-eefa-445a-a46f-a623ad8fe0c8
Anderson, James W.
739c0e33-ef61-4502-a675-575d08ee1a98
Aramayona, Javier
3291de41-c6c0-465a-9af5-7bbafef74784
Shackleton, Kenneth J.
622c576e-eefa-445a-a46f-a623ad8fe0c8

Anderson, James W., Aramayona, Javier and Shackleton, Kenneth J. (2007) An obstruction to the strong relative hyperbolicity of a group. Journal of Group Theory, 10 (6), 749-756. (doi:10.1515/JGT.2007.054).

Record type: Article

Abstract

We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups.

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Published date: November 2007

Identifiers

Local EPrints ID: 50546
URI: http://eprints.soton.ac.uk/id/eprint/50546
ISSN: 1433-5883
PURE UUID: 6cdbabf4-2b8b-4260-8f2a-5c78f9fe77fd
ORCID for James W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

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Date deposited: 28 Feb 2008
Last modified: 16 Mar 2024 02:52

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Contributors

Author: Javier Aramayona
Author: Kenneth J. Shackleton

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