On the residual finiteness of outer automorphisms of relatively hyperbolic groups

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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 resudually finite. We also generalize the main result for relatively hyperbolic groups.
12 pages, an addendum is added that generalizes the reults for relatively hyperbolic groups

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Group Theory, Geometric Topology, 20E05; 57A05; 20E07; 20E08; 57M60

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http://salesiana.dossiersoluciones.com/handle/123456789/101195

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504212
 http://arxiv.org/abs/math/0504212
 Geom. Dedicata 117 (2006), 125-131 (the paper without the addendum, under the title "on the residual finiteness of outer automorphisms of hyperbolic groups")

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arXiv