Residual finiteness and Hopficity of certain HNN extensions

DOI10.1007/BF01202492zbMath0578.20015OpenAlexW1974402579MaRDI QIDQ1066269

E. Raptis, S. Andreadakis, Dimitrios Varsos

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202492

zbMATH Keywords

residually finiteHNN extensionfinitely generated abelian grouphopficity

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)

A characterization of residually finite HNN-extensions of finitely generated Abelian groups ⋮ Subgroup separability of certain HNN extensions of finitely generated Abelian groups ⋮ Hopficity of certain HNN-extensions ⋮ The root class residuality of Baumslag-Solitar groups ⋮ On the residual finiteness of HNN-extensions and generalized free products of finite rank groups. ⋮ Some Baumslag–Solitar groups are two-bridge virtual knot groups ⋮ Subgroup separability of HNN-extensions with Abelian base group ⋮ Subgroup separability of certain HNN extensions ⋮ Commensurating HNN extensions: nonpositive curvature and biautomaticity

Cites Work

• Unnamed Item
• Automorphisms and Hopficity of certain Baumslag-Solitar groups
• On residually finite HNN-extensions
• Residually finite hnn extensions
• On homomorphisms onto finite groups
• Nonresidually Finite One-Relator Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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