JournalsggdVol. 3 , No. 4DOI 10.4171/ggd/69

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

  • Kai-Uwe Bux

    Universität Bielefeld, Germany
  • Ruth Charney

    Brandeis University, Waltham, USA
  • Karen Vogtmann

    University of Warwick, Coventry, United Kingdom
Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups cover

Abstract

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 22-dimensional right-angled Artin group. In the case of a right-angled Artin group with defining graph a tree, the bounds agree.