On the residual finiteness of outer automorphisms of relatively hyperbolic groups

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dc.creatorMetaftsis, V.
dc.creatorSykiotis, M.
dc.date2005-04-11
dc.date2006-01-19
dc.date.accessioned2026-07-07T06:39:45Z
dc.date.available2026-07-07T06:39:45Z
dc.descriptionWe 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.
dc.description12 pages, an addendum is added that generalizes the reults for relatively hyperbolic groups
dc.identifierhttps://arxiv.org/abs/math/0504212
dc.identifierhttp://arxiv.org/abs/math/0504212
dc.identifierGeom. Dedicata 117 (2006), 125-131 (the paper without the addendum, under the title "on the residual finiteness of outer automorphisms of hyperbolic groups")
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101195
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20E05; 57A05; 20E07; 20E08; 57M60
dc.titleOn the residual finiteness of outer automorphisms of relatively hyperbolic groups
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