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On the residual finiteness of outer automorphisms of relatively hyperbolic groups
Authors:V Metaftsis
Institution:a Department of Mathematics, University of the Aegean, Karlovassi, 832 00 Samos, Greece
b Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
Abstract:We show that every virtually torsion-free subgroup of the outer automorphism group of a conjugacy separable relatively hyperbolic group is residually finite. As a direct consequence, we obtain that the outer automorphism group of a limit group is residually finite.
Keywords:20F65  20F67  20E26  20E36  20F28
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