Subgroup conjugacy separability for surface groups

2014/01/23 by Oleg Bogopolski, Bogopolski, Oleg, Kai-Uwe Bux +2 · 2 citations
Computer Science · Mathematics · #Finite Group Theory Research #Geometric and Algebraic Topology #math.GR #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1401.6203

22 pages, 2 figures

arxiv created 2014/01/23 · arxiv updated 2014/01/27

Abstract

A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient of G. We prove that free groups and the fundamental groups of orientable closed compact surfaces are SCS.

Cited by

• Abstract commensurability and quasi-isometry classification of hyperbolic surface group amalgams
• On subgroup conjugacy separability of hyperbolic QVH-groups

Related

• On subgroup conjugacy separability in the class of virtually free groups
• On subgroup conjugacy separability of hyperbolic QVH-groups
• Limit Groups are Subgroup Conjugacy Separable
• Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable
• A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable