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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…
Automorphisms of higher-dimensional right-angled Artin groups
Ruth Charney, Karen Vogtmann
We study the algebraic structure of the automorphism group of a general right-angled Artin group. We show that this group is virtually torsion-free and has finite virtual cohomolog…
Automorphism groups of some affine and finite type Artin groups
Ruth Charney, John Crisp
We observe that, for each positive integer n > 2, each of the Artin groups of finite type A_n, B_n=C_n, and affine type \tilde A_{n-1} and \tilde C_{n-1} is a central extension of…
Bestvina's normal form complex and the homology of Garside groups
Ruth Charney, John Meier, Kim Whittlesey
A Garside group is a group admitting a finite lattice generating set D. Using techniques developed by Bestvina for Artin groups of finite type, we construct K(π,1)s for Garside gro…