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Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable (1605.08981v1)

Published 29 May 2016 in math.GR

Abstract: A group $G$ is called subgroup conjugacy separable if for every pair of non-conjugate finitely generated subgroups of $G$, there exists a finite quotient of $G$ where the images of these subgroups are not conjugate. It is proved that the fundamental group of a hyperbolic 3-manifold (closed or with cusps) is subgroup conjugacy separable.

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