On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Details On the residual finiteness of outer automorphisms of relatively hyperbolic groups On the residual finiteness of outer automorphisms of relatively hyperbolic groups

2005-04-11

arxiv.org/abs/math/0504212v3

Geom. Dedicata 117 (2006), 125-131 (the paper without the addendum, under the title "on the residual finiteness of outer autom

Mathematics

Group Theory

12 pages, an addendum is added that generalizes the reults for relatively hyperbolic groups

Scientific paper

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.

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