The cyclic subgroup separability of certain generalized free products of two groups
Group Theory
2013-08-19 v1
Abstract
Free products of two residually finite groups with amalgamated retracts are considered. It is proved that a cyclic subgroup of such a group is not finitely separable if, and only if, it is conjugated with a subgroup of a free factor which is not finitely separable in this factor. A similar result is obtained for the case of separability in the class of finite p-groups.
Keywords
Cite
@article{arxiv.1308.3500,
title = {The cyclic subgroup separability of certain generalized free products of two groups},
author = {P. A. Bobrovskii and E. V. Sokolov},
journal= {arXiv preprint arXiv:1308.3500},
year = {2013}
}