On solvable subgroups of automorphism groups of right-angled Artin groups
Group Theory
2009-10-27 v1
Abstract
For any right-angled Artin group, we show that its outer automorphism group contains either a finite-index nilpotent subgroup or a nonabelian free subgroup. This is a weak Tits alternative theorem. We find a criterion on the defining graph that determines which case holds. We also consider some examples of solvable subgroups, including one that is not virtually nilpotent and is embedded in a non-obvious way.
Keywords
Cite
@article{arxiv.0910.4789,
title = {On solvable subgroups of automorphism groups of right-angled Artin groups},
author = {Matthew B. Day},
journal= {arXiv preprint arXiv:0910.4789},
year = {2009}
}
Comments
11 pages