Geodesic
Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups
Kai-Uwe Bux1 orcid ; Ruth Charney2 orcid ; Karen Vogtmann3
1Universität Bielefeld, Germany
2Brandeis University, Waltham, USA
3University of Warwick, Coventry, United Kingdom
Groups, geometry, and dynamics, Tome 3 (2009) no. 4, pp. 541-554

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DOI

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.
DOI : 10.4171/ggd/69
Classification : 20-XX, 00-XX
Mots-clés : Right-angled Artin groups, symmetric automorphisms

Kai-Uwe Bux  1   ; Ruth Charney  2   ; Karen Vogtmann  3

1 Universität Bielefeld, Germany
2 Brandeis University, Waltham, USA
3 University of Warwick, Coventry, United Kingdom 
Kai-Uwe Bux; Ruth Charney; Karen Vogtmann. Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. Groups, geometry, and dynamics, Tome 3 (2009) no. 4, pp. 541-554. doi: 10.4171/ggd/69
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     author = {Kai-Uwe Bux and Ruth Charney and Karen Vogtmann},
     title = {Automorphisms of two-dimensional {RAAGS} and partially symmetric automorphisms of free groups},
     journal = {Groups, geometry, and dynamics},
     pages = {541--554},
     year = {2009},
     volume = {3},
     number = {4},
     doi = {10.4171/ggd/69},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/69/}
}
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