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Cyclic subgroup separability of certain HNN extensions. (English) Zbl 1006.20022

Summary: We show that certain HNN extensions of cyclic subgroup separable groups and certain HNN extensions of subgroup separable groups are cyclic subgroup separable. We also show that one-relator groups with non-trivial centre are cyclic subgroup separable.

MSC:

20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20E26 Residual properties and generalizations; residually finite groups
20F05 Generators, relations, and presentations of groups
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