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On the Residual Finiteness of Outer Automorphisms of Hyperbolic Groups |
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| Authors: | Vassilis Metaftsis Mihalis Sykiotis |
| Institution: | (1) Department of Mathematics, University of the Aegean, Karlovassi, 832 00 Samos, Greece;(2) M. Sykiotis, Amalthias 18, 412 22 Larissa, Greece;(3) Present address: 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 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. |
| Keywords: | Hyperbolic groups Residually finite Conjugacy separable Mapping class groups 2-orbifolds Ultralimits of metric spaces |
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