Subgroups and quotient groups of automorphism groups of RAAGs

Details Subgroups and quotient groups of automorphism groups of RAAGs Subgroups and quotient groups of automorphism groups of RAAGs

2009-09-13

arxiv.org/abs/0909.2444v2

Mathematics

Group Theory

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

Scientific paper

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.

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