2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158857We compute the virtual cohomological dimension (VCD) 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 two-dimensional right-angled Artin group. In the case of a right-angled group with defining graph a tree, the bounds agree.13 pages, 4 figuresGroup Theory20F36text