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Abstract: For any right-angled Artin group, we show that its outer automorphism groupcontains either a finite-index nilpotent subgroup or a nonabelian freesubgroup. This is a weak Tits alternative theorem. We find a criterion on thedefining graph that determines which case holds. We also consider some examplesof solvable subgroups, including one that is not virtually nilpotent and isembedded in a non-obvious way.



Author: Matthew B. Day

Source: https://arxiv.org/







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