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math.GR2008
Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups
Kai-Uwe Bux, Ruth Charney, Karen Vogtmann
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 th…
math.GR2008
Actions of automorphism groups of free groups on homology spheres and acyclic manifolds
Martin R. Bridson, Karen Vogtmann
For n at least 3, let SAut(F_n) denote the unique subgroup of index two in the automorphism group of a free group. The standard linear action of SL(n,Z) on R^n induces non-trivial…