Approximability of HNN-extensions with central associated subgroups by a root class of groups.

DOI10.1134/S000143461505003XzbMath1326.20028OpenAlexW2226267574MaRDI QIDQ745602

D. V. Gol'tsov

Publication date: 14 October 2015

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

Full work available at URL: https://doi.org/10.1134/s000143461505003x

zbMATH Keywords

free productsHNN-extensionsresidually finite groupscentral subgroupsgroups with root property

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)

Certain residual properties of HNN-extensions with central associated subgroups ⋮ Sufficient conditions for the root-class residuality of certain generalized free products. ⋮ 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 ⋮ The root-class residuality of some generalized free products and HNN-extensions ⋮ On the root-class residuality of generalized free products with a normal amalgamation. ⋮ To the question of the root-class residuality of free constructions 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

• Residual Properties of Infinite Soluble Groups
• Subgroups of HNN Groups and Groups with one Defining Relation

This page was built for publication: Approximability of HNN-extensions with central associated subgroups by a root class of groups.