Conjugacy Separability and Free Products of Groups with Cyclic Amalgamation

DOI10.1112/S0024610798006267zbMath0922.20031OpenAlexW2156713756MaRDI QIDQ4716638

Luis Ribes, Daniel Segal, Pavel A. Zalesskii

Publication date: 12 December 1996

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610798006267

zbMATH Keywords

polycyclic-by-finite groups free products profinite completions solvable conjugacy problem free-by-finite groups conjugacy separability finitely generated conjugacy separable groups free products with cyclic amalgamation

Mathematics Subject Classification ID

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) Limits, profinite groups (20E18)

Related Items (22)

Separability properties of certain tree products of groups ⋮ Conjugacy distinguished subgroups. ⋮ Finite approximation and commutators in free groups. ⋮ Hereditary conjugacy separability of free products with amalgamation. ⋮ Virtual Retraction Properties in Groups ⋮ Addendum to ``Groups with the same cohomology as their profinite completions. ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ Separating cyclic subgroups in graph products of groups ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ Profinite genus of free products with finite amalgamation ⋮ Deciding isomorphy using Dehn fillings, the splitting case ⋮ LIMIT GROUPS ARE CONJUGACY SEPARABLE ⋮ Class-preserving automorphisms and inner automorphisms of certain tree products of groups. ⋮ Bianchi groups are conjugacy separable. ⋮ Quasi-potency and cyclic subgroup separability. ⋮ Conjugacy separability of certain Seifert 3-manifold groups ⋮ Direct products and profinite completions ⋮ Lyndon's Group is Conjugately Residually Free ⋮ Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces. ⋮ Profinite properties of graph manifolds ⋮ Twisted Burnside-Frobenius theory for discrete groups ⋮ THE FIGURE EIGHT KNOT GROUP IS CONJUGACY SEPARABLE

This page was built for publication: Conjugacy Separability and Free Products of Groups with Cyclic Amalgamation