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A group $G$ is called subgroup conjugacy separable if for every pair ofnon-conjugate finitely generated subgroups of $G$, there exists a finitequotient of $G$ where the images of these subgroups are not conjugate. It isproved that the fundamental group of a hyperbolic 3-manifold (closed or withcusps) is subgroup conjugacy separable.

Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable