JournalsggdVol. 6, No. 2pp. 335–388

Hereditary conjugacy separability of right-angled Artin groups and its applications

  • Ashot Minasyan

    University of Southampton, United Kingdom
Hereditary conjugacy separability of right-angled Artin groups and its applications cover
Download PDF

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.

Cite this article

Ashot Minasyan, Hereditary conjugacy separability of right-angled Artin groups and its applications. Groups Geom. Dyn. 6 (2012), no. 2, pp. 335–388

DOI 10.4171/GGD/160