The University of Southampton
University of Southampton Institutional Repository

Residual properties of automorphism groups of (relatively) hyperbolic groups

Residual properties of automorphism groups of (relatively) hyperbolic groups
Residual properties of automorphism groups of (relatively) hyperbolic groups
We show that Out(G) is residually finite if G is one-ended and hyperbolic relative to virtually polycyclic subgroups. More generally, if G is one-ended and hyperbolic relative to proper residually finite subgroups, the group of outer automorphisms preserving the peripheral structure is residually finite. We also show that Out(G) is virtually p-residually finite for every prime p if G is one-ended and toral relatively hyperbolic, or infinitely-ended and virtually p-residually finite
1465-3060
2985-3023
Levitt, Gilbert
f2ea4e9a-a5a1-486d-ac04-53b4dde611f4
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Levitt, Gilbert
f2ea4e9a-a5a1-486d-ac04-53b4dde611f4
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d

Levitt, Gilbert and Minasyan, Ashot (2014) Residual properties of automorphism groups of (relatively) hyperbolic groups. Geometry & Topology, 18 (5), 2985-3023. (doi:10.2140/gt.2014.18.2985).

Record type: Article

Abstract

We show that Out(G) is residually finite if G is one-ended and hyperbolic relative to virtually polycyclic subgroups. More generally, if G is one-ended and hyperbolic relative to proper residually finite subgroups, the group of outer automorphisms preserving the peripheral structure is residually finite. We also show that Out(G) is virtually p-residually finite for every prime p if G is one-ended and toral relatively hyperbolic, or infinitely-ended and virtually p-residually finite

Text
articlearxiv-3-gt.pdf - Accepted Manuscript
Download (344kB)

More information

Accepted/In Press date: 9 March 2014
e-pub ahead of print date: 1 December 2014
Published date: 1 December 2014
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 363212
URI: http://eprints.soton.ac.uk/id/eprint/363212
ISSN: 1465-3060
PURE UUID: 635abd9a-e2b2-408c-962c-6a8a7442aa82
ORCID for Ashot Minasyan: ORCID iD orcid.org/0000-0002-4986-2352

Catalogue record

Date deposited: 21 Mar 2014 11:33
Last modified: 15 Mar 2024 03:29

Export record

Altmetrics

Contributors

Author: Gilbert Levitt
Author: Ashot Minasyan ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×