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arxiv: 1401.6203 · v1 · pith:VEPY7HAAnew · submitted 2014-01-23 · 🧮 math.GR

Subgroup conjugacy separability for surface groups

classification 🧮 math.GR
keywords groupsconjugacynon-conjugatesubgroupabbreviatedcalledclosedcompact
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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.

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