On the profinite topology of right-angled Artin groups
Group Theory
2009-05-11 v4 Geometric Topology
Abstract
We give necessary and sufficient conditions on the graph of a right-angled Artin group that determine whether the group is subgroup separable or not. Moreover, we investigate the profinite topology of the direct product of two free groups. We show that the profinite topology of the above group is strongly connected with the profinite topology of the free group of rank two.
Cite
@article{arxiv.math/0608190,
title = {On the profinite topology of right-angled Artin groups},
author = {V. Metaftsis and E. Raptis},
journal= {arXiv preprint arXiv:math/0608190},
year = {2009}
}
Comments
The previous version had an incomplete proof that right-angled Artin groups are conjugacy separable. A much more general result is proved by Minasyan in arXiv:0905.1282