Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups

Details Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups

2008-04-15

arxiv.org/abs/0804.2300v1

Mathematics

Group Theory

13 pages, 4 figures

Scientific paper

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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