Residual Finiteness, Qcerf, and Fillings of Hyperbolic Groups
نویسندگان
چکیده
We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.
منابع مشابه
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We show that every virtually torsion-free subgroup of the outer au-tomorphism group of a conjugacy separable hyperbolic group is residually finite. As a result, we are able to prove that the group of outer automorphisms of every finitely generated Fuchsian group and of every free-by-finite group is residually finite. In an addendum, we also generalise the main result for relatively hyperbolic g...
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