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arXiv · 0910.4789

On solvable subgroups of automorphism groups of right-angled Artin groups

Matthew B. Day
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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.

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Matthew B. Day. 2009-10-26. On solvable subgroups of automorphism groups of right-angled Artin groups. https://arxiv.org/abs/0910.4789

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