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Finiteness properties of automorphism groups of right-angled Artin groups

Finiteness properties of automorphism groups of right-angled Artin groups

We study the algebraic structure of the outer automorphism group of a general right-angled Artin group.We show that this group is virtually torsion-free and has finite virtual cohomological dimension.This generalizes results proved in [CCV] for two-dimensional right-angled Artin groups.