Subgroups and quotient groups of automorphism groups of RAAGs

2009/09/13 by Charney, Ruth, Vogtmann, Karen
#20F36 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0909.2444

Abstract

We study subgroups and quotients of outer automorphism groups of right-angled Artin groups (RAAGs). We prove that for all RAAGS, the outer automorphism group is residually finite and, for a large class of RAAGs, it satisfies the Tits alternative. We also investigate which of these automorphism groups contain non-abelian solvable subgroups.

Related

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• On embeddings between outer automorphism groups of right-angled Artin groups
• Outer space and finiteness properties for symmetric automorphisms of RAAGs, and generalisations
• Finite groups of untwisted outer automorphisms of RAAGs
• A note on nilpotent subgroups of automorphism groups of RAAGs