Bulletin of the London Mathematical Society Advance Access originally published online on January 6, 2009
Bulletin of the London Mathematical Society 2009 41(1):94-102; doi:10.1112/blms/bdn108
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© 2009 London Mathematical Society
Finiteness properties of automorphism groups of right-angled Artin groups
Mathematics Department
Brandeis University
Waltham, MA 02454-9110
USA
Mathematics Department
Cornell University
Ithaca, NY 14853-4201
USA
vogtmann@math.cornell.edu
Received 7 February 2008. Revision received 8 July 2008.
We study the algebraic structure of the outer automorphism group of a general right-angled Artin group. We show that this group is virtually torsion-free and has finite virtual cohomological dimension. This generalizes results proved earlier by the authors and Crisp for 2-dimensional right-angled Artin groups.
2000 Mathematics Subject Classification 20F36 (primary).
R. C. was partially supported by NSF grant DMS 0705396. K. V. was partially supported by NSF grant DMS 0705960.