Subgroups and quotient groups of automorphism groups of RAAGs

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.

19 pages, 4 figures. Typos corrected, improvements in exposition.

Cited by in corpus (4)

• Commensurating endomorphisms of acylindrically hyperbolic groups and applications
• Compactifying the Space of Length Functions of a Right-angled Artin Group
• On solvable subgroups of automorphism groups of right-angled Artin groups
• A note on nilpotent subgroups of automorphism groups of RAAGs