Certain residual properties of HNN-extensions with central associated subgroups

DOI10.1080/00927872.2021.1976791OpenAlexW3199228379MaRDI QIDQ5037584

E. V. Sokolov

Publication date: 1 March 2022

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

Full work available at URL: https://arxiv.org/abs/2106.13866

zbMATH Keywords

HNN-extensionroot-class residualityresidual finitenessresidual \(p\)-finitenessresidual solvability

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 (2)

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

Cites Work

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• Sufficient conditions for the root-class residuality of certain generalized free products.
• Root class residuality of HNN-extensions with central cyclic associated subgroups
• Approximability of HNN-extensions with central associated subgroups by a root class of groups.
• Generalized direct products of groups and their application to the study of residuality of free constructions of groups
• A characterization of residually finite HNN-extensions of finitely generated Abelian groups
• Residual properties of HNN-extensions with base group an Abelian group
• The potency of cyclically pinched one-relator groups
• The residual nilpotence of HNN-extensions with base group a finite or a f.g. Abelian group.
• On the root-class residuality of certain HNN-extensions of groups
• On the root-class residuality of certain free products of groups with normal amalgamated subgroups
• Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.
• Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups
• Residual Properties of Infinite Soluble Groups
• Residually finite hnn extensions
• Cyclic Subgroup Separability of HNN-Extensions with Cyclic Associated Subgroups
• Subgroups of HNN groups
• A Characterization of Root Classes of Groups
• THE RESIDUAL FINITENESS OF CERTAIN HNN EXTENSIONS

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