Necessary conditions of the approximability of generalized free products and HNN-extensions of groups

DOI10.3103/S1066369X17090043zbMath1381.20028OpenAlexW2751612587MaRDI QIDQ1695294

A. E. Kuvaev, E. V. Sokolov

Publication date: 7 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17090043

zbMATH Keywords

residual propertiesmultiple HNN-extensionfree product of groups with one amalgamated subgroup

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 (3)

The root-class residuality of the fundamental groups of graphs of groups ⋮ On the root-class residuality of certain free products of groups with normal amalgamated subgroups ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II

Cites Work

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• A remark on the separability of subgroups in the class of finite \(\pi\)-groups.
• On residually finite HNN-extensions
• On the residual \(\pi\)-finiteness of generalized free products of groups.
• A Converse to a Residual Finiteness Theorem of G. Baumslag
• Residually finite hnn extensions
• On the residual nilpotence of certain one‐relator groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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