Hereditary conjugacy separability of right angled Artin groups and its applications
Hereditary conjugacy separability of right angled Artin groups and its applications
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups. In particular, we show that any word hyperbolic Coxeter group contains a conjugacy separable subgroup of finite index and has a residually finite outer automorphism group. Another consequence of the main result is that Bestvina-Brady groups are conjugacy separable and have solvable conjugacy problem
hereditary conjugacy separability, right angled artin groups, graph groups, partially commutative groups, coxeter groups, bestvina-brady groups
335-388
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
2012
Minasyan, Ashot
3de640f5-d07b-461f-b130-5b1270bfdb3d
Minasyan, Ashot
(2012)
Hereditary conjugacy separability of right angled Artin groups and its applications.
Groups, Geometry and Dynamics, 6 (2), .
(doi:10.4171/GGD/160).
Abstract
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups. In particular, we show that any word hyperbolic Coxeter group contains a conjugacy separable subgroup of finite index and has a residually finite outer automorphism group. Another consequence of the main result is that Bestvina-Brady groups are conjugacy separable and have solvable conjugacy problem
Text
RAAG-conj_sep-21.pdf
- Author's Original
More information
e-pub ahead of print date: 12 December 2010
Published date: 2012
Keywords:
hereditary conjugacy separability, right angled artin groups, graph groups, partially commutative groups, coxeter groups, bestvina-brady groups
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 69174
URI: http://eprints.soton.ac.uk/id/eprint/69174
ISSN: 1661-7207
PURE UUID: 099eec59-f23f-4323-a439-5983bb43c68b
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Date deposited: 23 Oct 2009
Last modified: 14 Mar 2024 02:53
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