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Finiteness properties of automorphism groups of right‐angled Artin groups
Author(s) -
Charney Ruth,
Vogtmann Karen
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn108
Subject(s) - mathematics , outer automorphism group , automorphism , pure mathematics , artin group , automorphism group , combinatorics , coxeter group
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.