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Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups
Journal article   Peer reviewed

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

Kai-Uwe Bux, Ruth Charney and Karen Vogtmann
Groups, geometry and dynamics, Vol.3(4), pp.541-554
01/01/2009
DOI: https://doi.org/10.4171/GGD/69

Abstract

Science & Technology Mathematics Physical Sciences
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 2-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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