Residual properties of automorphism groups of (relatively) hyperbolic groups
Group Theory
2016-01-20 v3 Geometric Topology
Abstract
We show that Out(G) is residually finite if G is a one-ended group that is hyperbolic relative to virtually polycyclic subgroups. More generally, if G is one-ended and hyperbolic relative to proper residually finite subgroups, the group of outer automorphisms preserving the peripheral structure is residually finite. We also show that Out(G) is virtually p-residually finite for every prime p if G is one-ended and toral relatively hyperbolic, or infinitely-ended and virtually p-residually finite.
Keywords
Cite
@article{arxiv.1305.5403,
title = {Residual properties of automorphism groups of (relatively) hyperbolic groups},
author = {Gilbert Levitt and Ashot Minasyan},
journal= {arXiv preprint arXiv:1305.5403},
year = {2016}
}
Comments
v3: as accepted to Geom. & Topol; 29 pages