Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups

DOI10.4153/CMB-1995-017-5zbMath0822.20027MaRDI QIDQ4698669

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Publication date: 5 October 1995

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

elements of infinite orderfree products with amalgamationisolated subgroupsconjugacy separable groupsfree-by-finite groupsnilpotent-by-finite groupsgroups of \(F\)-typeunique root property

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Free nonabelian groups (20E05) 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) Residual properties and generalizations; residually finite groups (20E26)

Related Items (13)

Separability properties of certain tree products of groups ⋮ Conjugacy separability of HNN-extensions of abelian groups ⋮ Subgroup separability of certain generalized free products of nilpotent-by-finite groups. ⋮ Abelian subgroup separability of certain generalized free products of free or finitely generated nilpotent groups. ⋮ Virtual Retraction Properties in Groups ⋮ Conjugacy separability of generalized free products of surface groups ⋮ The Weakly Potency of Certain HNN Extensions of Nilpotent Groups ⋮ Addendum to ``Groups with the same cohomology as their profinite completions. ⋮ Cyclic conjugacy separability and conjugacy separability of certain HNN extensions ⋮ Unnamed Item ⋮ On the weak \(\pi \)-potency of some groups and free products ⋮ Tree products of conjugacy separable groups ⋮ Unnamed Item

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