Root class residuality of HNN-extensions with central cyclic associated subgroups

DOI10.1134/S0001434617090280zbMath1421.20013OpenAlexW2767120339MaRDI QIDQ679879

E. V. Sokolov, E. A. Tumanova

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434617090280

zbMATH Keywords

HNN-extensionresidual \(p\)-finitenessresidual solvabilityroot class residuality

Mathematics Subject Classification ID

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 (11)

The root-class residuality of the fundamental groups of graphs of groups ⋮ Certain residual properties of HNN-extensions with central associated subgroups ⋮ The root-class residuality of tree products with central amalgamated subgroups ⋮ 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 ⋮ The root-class residuality of some generalized free products and HNN-extensions ⋮ To the question of the root-class residuality of free constructions of groups ⋮ The root class residuality of the tree product of groups with amalgamated retracts ⋮ On the root-class residuality of certain HNN-extensions of groups ⋮ The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups ⋮ Generalized direct products of groups and their application to the study of residuality of free constructions of groups

Cites Work

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• Sufficient conditions for the root-class residuality of certain generalized free products.
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• On the root-class residuality of generalized free products with a normal amalgamation.
• Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.
• The root class residuality of Baumslag-Solitar groups
• Residual finiteness, subgroup separability and conjugacy separability of certain HNN extensions
• Residual Properties of Infinite Soluble Groups
• Cyclic Subgroup Separability of HNN-Extensions with Cyclic Associated Subgroups
• On homomorphisms onto finite groups
• A Characterization of Root Classes of Groups
• Subgroups of HNN Groups and Groups with one Defining Relation

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