On the root-class residuality of generalized free products with a normal amalgamation.

DOI10.3103/S1066369X15100035zbMath1341.20028MaRDI QIDQ906370

E. A. Tumanova

Publication date: 21 January 2016

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

zbMATH Keywords

separabilityroot classes of groupsresidual propertiesgeneralized free products with normal amalgamation

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 (16)

The root-class residuality of the fundamental groups of graphs of groups ⋮ Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups ⋮ ON THE RESIDUAL NILPOTENCE OF FREE PRODUCTS OF NILPOTENT GROUPS WITH CENTRAL AMALGAMATED SUBGROUPS ⋮ Sufficient conditions for the root-class residuality of certain generalized free products. ⋮ The root class residuality of Baumslag-Solitar groups ⋮ 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 ⋮ Necessary conditions of the approximability of generalized free products and HNN-extensions of groups ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II ⋮ 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 ⋮ On the residual properties of generalized direct products of groups ⋮ Root class residuality of HNN-extensions with central cyclic associated subgroups ⋮ The root class residuality of the tree product of groups with amalgamated retracts ⋮ On the root-class residuality of certain HNN-extensions of groups ⋮ Generalized direct products of groups and their application to the study of residuality of free constructions of groups

Cites Work

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• Approximability of HNN-extensions with central associated subgroups by a root class of groups.
• On the conjugacy separability of some free constructions of groups by root classes of finite groups.
• On the residual \(\pi\)-finiteness of generalized free products of groups.
• Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.
• Amalgams of \(p\)-groups.
• Residual Properties of Infinite Soluble Groups
• On the root-class residuality of generalized free products with a normal amalgamation
• On the root-class residuality of generalized free products with a normal amalgamation
• A Characterization of Root Classes of Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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