The Conjugacy Problem for HNN Extensions with Infinite Cyclic Associated Groups

DOI10.2307/2160210zbMath0804.20029OpenAlexW4253565197MaRDI QIDQ4290833

Kathy Horadam, Graham E. Farr

Publication date: 17 January 1995

Full work available at URL: https://doi.org/10.2307/2160210

zbMATH Keywords

HNN extensionsinverse semigroupsconjugacy problembicyclic semigroupsolvable extended word problem

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Inverse semigroups (20M18)

Related Items (2)

A logspace solution to the word and conjugacy problem of generalized Baumslag-Solitar groups ⋮ The conjugacy problem for Higman’s group

Cites Work

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• Reducibilities Among Decision Problems for HNN Groups, Vector Addition Systems and Subsystems of Peano Arithmetic
• An Hnn-Extension with Cyclic Associated Subgroups and with Unsolvable Conjugacy Problem
• The Conjugacy Problem for Graph Products with Finite Cyclic Edge Groups
• Conjugate Powers in HNN Groups
• The lattice of inverse subsemigroups of a reduced inverse semigroup
• The Conjugacy Problem for HNN Groups and the Word Problem For Commutative Semigroups
• The Conjugacy Problem for Graph Products with Central Cyclic Edge Groups

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