Necessary conditions for the residual nilpotency of certain group theory constructions

DOI10.1134/S0037446619060120zbMath1443.20050OpenAlexW3008649532MaRDI QIDQ2186310

A. E. Kuvaev

Publication date: 9 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0037446619060120

zbMATH Keywords

HNN-extensionresidual \(p\)-finitenessgeneralized free productfundamental group of a graph of groupsresidual nilpotency

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 (1)

Certain residual properties of generalized Baumslag-Solitar groups

Cites Work

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• Generalized direct products of groups and their application to the study of residuality of free constructions of groups
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• Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
• On residually finite HNN-extensions
• 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
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Generalized Free Products with Amalgamated Subgroups
• Embedding Theorems for Groups
• On Infinite Soluble Groups (IV)

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