The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Groups, Geometry, and Dynamics


Full-Text PDF (195 KB) | Metadata | Table of Contents | GGD summary
Volume 3, Issue 4, 2009, pp. 541–554
DOI: 10.4171/GGD/69

Published online: 2009-12-23

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

Kai-Uwe Bux[1], Ruth Charney[2] and Karen Vogtmann[3]

(1) Universit├Ąt Bielefeld, Germany
(2) Brandeis University, Waltham, USA
(3) University of Warwick, Coventry, United Kingdom

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.

Keywords: Right-angled Artin groups, symmetric automorphisms

Bux Kai-Uwe, Charney Ruth, Vogtmann Karen: Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. Groups Geom. Dyn. 3 (2009), 541-554. doi: 10.4171/GGD/69