Conjugacy separability of amalgamated free products of groups

DOI10.1006/jabr.1996.0035zbMath0869.20015OpenAlexW2029598923MaRDI QIDQ1911325

Luis Ribes, Pavel A. Zalesskii

Publication date: 3 September 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/050e1e5815b90d32d91eb3397408d1e67bc3a3f0

zbMATH Keywords

free products with amalgamationfinitely presented groupssolvable conjugacy problemconjugacy separabilitynilpotent-by-finite groupsprofinite groups acting on profinite trees

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 (24)

Conjugacy separability of HNN-extensions of abelian groups ⋮ The Hanna Neumann conjecture for surface groups ⋮ Conjugacy distinguished subgroups. ⋮ Hereditary conjugacy separability of free products with amalgamation. ⋮ Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups. ⋮ Virtual Retraction Properties in Groups ⋮ Addendum to ``Groups with the same cohomology as their profinite completions. ⋮ Virtual pro-\(p\) properties of 3-manifold groups ⋮ Profinite extensions of centralizers and the profinite completion of limit groups ⋮ An embedding theorem for certain residually finite groups ⋮ Conjugacy separability of 1-acylindrical graphs of free groups. ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ On pro-\(p\) analogues of limit groups via extensions of centralizers. ⋮ Profinite rigidity of graph manifolds and JSJ decompositions of 3-manifolds ⋮ LIMIT GROUPS ARE CONJUGACY SEPARABLE ⋮ Tree products of conjugacy separable groups ⋮ Detecting ends of residually finite groups in profinite completions ⋮ Subgroup conjugacy separability of free-by-finite groups. ⋮ Quasi-potency and cyclic subgroup separability. ⋮ Profinite properties of graph manifolds ⋮ Splitting theorems for pro-\(p\) groups acting on pro-\(p\) trees ⋮ THE FIGURE EIGHT KNOT GROUP IS CONJUGACY SEPARABLE ⋮ Weak Separation Problem for Tree Languages

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