Pushing fillings in right-angled Artin groups
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
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