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Subgroup conjugacy separability for surface groups (1401.6203v1)

Published 23 Jan 2014 in math.GR

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.

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