The Cyclic Subgroup Separability of Certain Generalized Free Products of Two Groups

DOI10.1142/S1005386710000556zbMath1201.20023arXiv1308.3500OpenAlexW2964125070MaRDI QIDQ3162647

P. A. Bobrovskii, E. V. Sokolov

Publication date: 20 October 2010

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3500

zbMATH Keywords

split extensionsgeneralized free productsresidually finite groupsresidual finitenessresidual \(p\)-finitenesscyclic subgroup separability

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (5)

Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups ⋮ Sufficient conditions for the root-class residuality of certain generalized free products. ⋮ Separating cyclic subgroups in graph products of groups ⋮ On the separability of subgroups of nilpotent groups by root classes of groups ⋮ The root class residuality of the tree product of groups with amalgamated retracts

Cites Work

• Cyclic Subgroup Separability of Generalized Free Products

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