Some remarks on profinite HNN extensions

DOI10.1007/BF02758634zbMath0806.20024OpenAlexW1986894220MaRDI QIDQ1320025

Zoé Chatzidakis

Publication date: 15 February 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02758634

zbMATH Keywords

HNN-extensionsprofinite groupspro-\(p\)-groupstorsion elementsopen subgroups2-generated profinite groups

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (9)

Virtual pro-\(p\) properties of 3-manifold groups ⋮ An embedding theorem for certain residually finite groups ⋮ Virtually free pro-\(p\) groups. ⋮ On accessibility for pro-\(p\) groups ⋮ A criterion for HNN extensions of finite \(p\)-groups to be residually \(p\). ⋮ Profinite HNN-constructions ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ The genus of HNN-extensions ⋮ A criterion for residual \({p}\)-finiteness of arbitrary graphs of finite \({p}\)-groups

Cites Work

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• An embedding theorem for pro-finite groups
• Profinite groups and Boolean graphs
• Amalgams of \(p\)-groups.
• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• Residually finite hnn extensions
• On amalgamated products of profinite groups

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