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arXiv · 1401.6203

Subgroup conjugacy separability for surface groups

Oleg Bogopolski·Kai-Uwe Bux
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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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Oleg Bogopolski, Kai-Uwe Bux. 2014-01-23. Subgroup conjugacy separability for surface groups. https://arxiv.org/abs/1401.6203

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