We compute the virtual cohomological dimension of the group of partially symmetric outer automorphisms of a free group. We use this to obtain new upper and lower bounds on the VCD of the outer automorphism group of a -dimensional right-angled Artin group. In the case of a right-angled Artin group with defining graph a tree, the bounds agree.
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Kai-Uwe Bux, Ruth Charney, Karen Vogtmann, Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. Groups Geom. Dyn. 3 (2009), no. 4, pp. 541–554DOI 10.4171/GGD/69