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

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

2009-10-26

arxiv.org/abs/0910.4789v1

Mathematics

Group Theory

11 pages

Scientific paper

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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