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arXiv · 1308.3500

The cyclic subgroup separability of certain generalized free products of two groups

P. A. Bobrovskii·E. V. Sokolov
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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.

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P. A. Bobrovskii, E. V. Sokolov. 2013-08-15. The cyclic subgroup separability of certain generalized free products of two groups. https://arxiv.org/abs/1308.3500

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