On the residual finiteness of outer automorphisms of relatively hyperbolic groups

V. Metaftsis; M. Sykiotis

On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Group Theory 2009-07-29 v3 Geometric Topology

Authors: V. Metaftsis , M. Sykiotis

Abstract

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.

Keywords

residual finiteness outer automorphism groups relatively hyperbolic groups conjugacy separable groups limit groups virtually torsion-free subgroups

Cite

@article{arxiv.math/0608685,
  title  = {On the residual finiteness of outer automorphisms of relatively hyperbolic groups},
  author = {V. Metaftsis and M. Sykiotis},
  journal= {arXiv preprint arXiv:math/0608685},
  year   = {2009}
}

Comments

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

On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Abstract

Keywords

Cite

Comments

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