Generalized direct products of groups and their application to the study of residuality of free constructions of groups

DOI10.1007/S10469-020-09568-XzbMath1454.20057OpenAlexW3009865780WikidataQ114691255 ScholiaQ114691255MaRDI QIDQ784467

E. V. Sokolov, E. A. Tumanova

Publication date: 3 August 2020

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-020-09568-x

zbMATH Keywords

HNN-extensionroot-class residualityresidual finitenessresidual \(p\)-finitenessresidual solvabilitygeneralized direct productgeneralized free product

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (11)

The root-class residuality of the fundamental groups of graphs of groups ⋮ Certain residual properties of HNN-extensions with central associated subgroups ⋮ Necessary conditions for the residual nilpotency of certain group theory constructions ⋮ The root-class residuality of tree products with central amalgamated subgroups ⋮ On the separability of subgroups of nilpotent groups by root classes 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 ⋮ On the residual properties of generalized direct products of groups ⋮ On the root-class residuality of certain HNN-extensions of groups ⋮ Certain residual properties of generalized Baumslag-Solitar groups ⋮ The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups

Cites Work

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