Bianchi groups are conjugacy separable.

DOI10.1016/j.jpaa.2009.12.015zbMath1196.20057arXiv0908.1420OpenAlexW1978381343MaRDI QIDQ964526

Sheila C. Chagas, Pavel A. Zalesskii

Publication date: 22 April 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1420

zbMATH Keywords

Bianchi groupssubgroups of finite indexsubgroup separable groupslimit groupscommensurabilityconjugacy separable groupsarithmetic lattices

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (5)

Virtually compact special hyperbolic groups are conjugacy separable ⋮ Hereditary conjugacy separability of free products with amalgamation. ⋮ On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms. ⋮ Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings ⋮ Effective twisted conjugacy separability of nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hereditary conjugacy separability of right-angled Artin groups and its applications.
• Normalisers in limit groups.
• Subgroup separability and virtual retractions of groups
• Conjugacy in polycyclic groups
• Conjugate separability in polycyclic groups
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• The Bianchi groups are separable on geometrically finite subgroups.
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Hall's theorem for limit groups.
• Conjugacy in normal subgroups of hyperbolic groups
• On subdirect products of type FP m of limit groups
• Criteria for virtual fibering
• AUTOMORPHISMS OF PRO-p GROUPS OF FINITE VIRTUAL COHOMOLOGICAL DIMENSION
• Finite index subgroups of conjugacy separable groups
• THE FIGURE EIGHT KNOT GROUP IS CONJUGACY SEPARABLE
• The arithmetic structure of tetrahedral groups of hyperbolic isometries
• Periodic automorphisms of free groups
• Conjugacy separability of certain Bianchi groups and HNN extensions
• Conjugacy Separability and Free Products of Groups with Cyclic Amalgamation
• LIMIT GROUPS ARE CONJUGACY SEPARABLE

This page was built for publication: Bianchi groups are conjugacy separable.