Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups

DOI10.1134/S0037446617010219zbMath1369.20041MaRDI QIDQ2360274

E. V. Sokolov

Publication date: 30 June 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

residual \(\pi\)-finitenessroot classes of groupsseparable subgroupsfree product with amalgamationresidual nilpotency

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Nilpotent groups (20F18) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items (6)

Certain residual properties of HNN-extensions with central associated subgroups ⋮ Necessary conditions for the residual nilpotency of certain group theory constructions ⋮ On the root-class residuality of certain free products of groups with normal amalgamated subgroups ⋮ On the separability of subgroups of nilpotent groups by root classes of groups ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II ⋮ The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups

Cites Work

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• Residual finiteness of the free product of two groups with commuting subgroups
• On amalgamated free products of residually \(p\)-finite groups
• Residual properties of free products of infinitely many nilpotent groups amalgamating cycles
• Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.
• On the cyclic subgroup separability of the free product of two groups with commuting subgroups
• The Cyclic Subgroup Separability of Certain Generalized Free Products of Two Groups
• Residual Properties of Infinite Soluble Groups
• A Characterization of Root Classes of Groups

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