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

2006-08-28

arxiv.org/abs/math/0608685v3

Mathematics

Group Theory

11 pages, 1 figure. Section 3 is replaced by Theorem 1.3. More detailed arguments. Added new references. To appear in Journal

Scientific paper

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.

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