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Hereditary conjugacy separability of right angled Artin groups and its applications

Minasyan, Ashot (2009) Hereditary conjugacy separability of right angled Artin groups and its applications. Preprint, 1-49. (Submitted)
http://eprints.soton.ac.uk/69174/

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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

Item Type:Article
ID Code:69174
Date of issue:01 May 2009
Uncontrolled Keywords:hereditary conjugacy separability, right angled Artin groups, graph groups, partially commutative groups, Coxeter groups, Bestvina-Brady groups
Alternative Locations:http://arxiv.org/abs/0905.1282
Subjects:Q Science > QA Mathematics
School or Centre:School of Mathematics > Pure Mathematics
Deposited By:Minasyan, Dr Ashot
Deposited On:23 October 2009

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