Finite Index Subgroups of Conjugacy Separable Groups

@inproceedings{Chagas2008FiniteIS,
title={Finite Index Subgroups of Conjugacy Separable Groups},
author={S. C. Chagas and Pavel Zalesskii},
year={2008}
}

We construct an example of conjugacy separable group possessing a not conjugacy separable subgroup of finite index. We give also a sufficient condition for a conjugacy separable group to preserve this property when passing to subgroups of finite index. We establish also conjugacy separability of finitely presented residually free groups using impressive results of Bridson and Wilton [BW-07].