Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups
classification
🧮 math.GR
keywords
groupautomorphismsboundsfreeouterpartiallyright-angledsymmetric
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We 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.
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