Document Type
Article
Publication Date
1-1-2013
Abstract
We obtain bounds on the higher divergence functions of right-angled Artin groups (RAAGs), finding that the k-dimensional divergence of a RAAG is bounded above by r2k+2. These divergence functions, previously defined for Hadamard manifolds to measure isoperimetric properties at infinity, are defined here as a family of quasi-isometry invariants of groups. We also show that the kth order Dehn function of a Bestvina-Brady group is bounded above by V (2k+2)/k and construct a class of RAAGs called orthoplex groups which show that each of these upper bounds is sharp. © 2013 London Mathematical Society.
Publication Source (Journal or Book title)
Journal of the London Mathematical Society
First Page
663
Last Page
688
Recommended Citation
Abrams, A., Brady, N., Dani, P., Duchin, M., & Young, R. (2013). Pushing fillings in right-angled Artin groups. Journal of the London Mathematical Society, 87 (3), 663-688. https://doi.org/10.1112/jlms/jds064
