The residual nilpotence of HNN-extensions with base group a finite or a f.g. Abelian group.

DOI10.1016/0022-4049(91)90059-BzbMath0743.20022MaRDI QIDQ1181425

E. Raptis, Dimitrios Varsos

Publication date: 27 June 1992

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

zbMATH Keywords

isomorphismsautomorphismsHNN-extensionsresidual nilpotencefinitely generated Abelian groupsbase groups

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 (6)

Certain residual properties of HNN-extensions with central associated subgroups ⋮ ON THE RESIDUAL NILPOTENCE OF FREE PRODUCTS OF NILPOTENT GROUPS WITH CENTRAL AMALGAMATED SUBGROUPS ⋮ A necessary condition for the residual nilpotence of HNN-extensions ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ A criterion for HNN extensions of finite \(p\)-groups to be residually \(p\). ⋮ Palindromic automorphisms of free groups.

Cites Work

• A characterization of residually finite HNN-extensions of finitely generated Abelian groups
• Extending isomorphisms to automorphisms
• Residual properties of HNN-extensions with base group an Abelian group
• Amalgams of \(p\)-groups.
• Residual Properties of Infinite Soluble Groups

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