Hereditary conjugacy separability of right angled Artin groups and its applications
Minasyan, Ashot (2012) Hereditary conjugacy separability of right angled Artin groups and its applications. Groups Geometry and Dynamics, 6, (2), 335-388. (doi:10.4171/GGD/160).
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Description/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 |
|---|---|
| ISSNs: | 1661-7207 (print) |
| Related URLs: | |
| Keywords: | hereditary conjugacy separability, right angled artin groups, graph groups, partially commutative groups, coxeter groups, bestvina-brady groups |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics |
| Item ID: | 69174 |
| Date Deposited: | 23 Oct 2009 |
| Last Modified: | 11 Jun 2012 10:45 |
| Contributors: | Minasyan, Ashot (Author) |
| Date: | 2012 |
| Status: | Published |
| Contact Email Address: | a.minasyan@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/69174 |
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