Conjugacy separability of certain Bianchi groups and HNN extensions

DOI10.1017/S0305004197002193zbMath0903.20013MaRDI QIDQ4385127

John S. Wilson, Pavel A. Zalesskii

Publication date: 26 October 1998

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

HNN extensionsprofinite completionsconjugacy separable groupsfree amalgamated productsEuclidean Bianchi groups

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) 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 (11)

The Hanna Neumann conjecture for surface groups ⋮ Hyperbolic 3-manifold groups are subgroup into conjugacy separable ⋮ Conjugacy separability of 1-acylindrical graphs of free groups. ⋮ Groups of units of integral group rings commensurable with direct products of free-by-free groups. ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ Cohomological goodness and the profinite completion of Bianchi groups. ⋮ Group algebras of Kleinian type and groups of units. ⋮ Bianchi groups are conjugacy separable. ⋮ Conjugacy separability of certain Seifert 3-manifold groups ⋮ THE FIGURE EIGHT KNOT GROUP IS CONJUGACY SEPARABLE ⋮ $3$-Manifold Groups are Virtually Residually $p$

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