Virtually splitting the map from Aut(G) to Out(G)
Group Theory
2013-01-21 v1
Abstract
We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups. As a consequence the outer automorphism group of any finitely generated Coxeter group is residually finite and virtually torsion-free.
Cite
@article{arxiv.1301.4446,
title = {Virtually splitting the map from Aut(G) to Out(G)},
author = {Mathieu Carette},
journal= {arXiv preprint arXiv:1301.4446},
year = {2013}
}
Comments
10 pages, 1 figure