Virtually compact special hyperbolic groups are conjugacy separable
Virtually compact special hyperbolic groups are conjugacy separable
We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable. To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This criterion is of independent interest; its proof is based on a combination of discrete and profinite (co)homology theories.
609-627
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Zalesskii, Pavel
e6e019f3-d8f7-4d8d-b92b-ab808dc96930
2016
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Zalesskii, Pavel
e6e019f3-d8f7-4d8d-b92b-ab808dc96930
Minasyan, Ashot and Zalesskii, Pavel
(2016)
Virtually compact special hyperbolic groups are conjugacy separable.
Commentarii Mathematici Helvetici, 91 (4), .
(doi:10.4171/CMH/397).
Abstract
We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable. To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This criterion is of independent interest; its proof is based on a combination of discrete and profinite (co)homology theories.
Text
vcs-hcs-24.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 15 June 2016
e-pub ahead of print date: 24 October 2016
Published date: 2016
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 396932
URI: http://eprints.soton.ac.uk/id/eprint/396932
ISSN: 0010-2571
PURE UUID: d97e792c-cfc9-4517-ab98-6d9d9163f92f
Catalogue record
Date deposited: 16 Jun 2016 09:21
Last modified: 15 Mar 2024 03:29
Export record
Altmetrics
Contributors
Author:
Pavel Zalesskii
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
