Residual properties of HNN-extensions with base group an Abelian group

DOI10.1016/0022-4049(89)90098-4zbMath0676.20012OpenAlexW1975160317WikidataQ127764020 ScholiaQ127764020MaRDI QIDQ1122652

E. Raptis, Dimitrios Varsos

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90098-4

zbMATH Keywords

HNN-extensionresidually nilpotentfinitely generated abelian groupresidually solvable

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 (9)

Certain residual properties of HNN-extensions with central associated subgroups ⋮ A necessary condition for the residual nilpotence of HNN-extensions ⋮ The true prosoluble completion of a group: examples and open problems. ⋮ Baumslag–Solitar groups and residual nilpotence ⋮ The residual nilpotence of HNN-extensions with base group a finite or a f.g. Abelian group. ⋮ A criterion for HNN extensions of finite \(p\)-groups to be residually \(p\). ⋮ Residual Properties of Free Products ⋮ On the free profinite products of profinite groups with commuting subgroups ⋮ Generalized direct products of groups and their application to the study of residuality of free constructions of groups

Cites Work

• A characterization of residually finite HNN-extensions of finitely generated Abelian groups
• Extending isomorphisms to automorphisms
• Residual Properties of Infinite Soluble Groups
• Subgroups of HNN Groups and Groups with one Defining Relation

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