Pushing fillings in right-angled Artin groups

Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, Robert Young

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)663-688
Number of pages26
JournalJournal of the London Mathematical Society
Volume87
Issue number3
DOIs
StatePublished - Jun 2013

ASJC Scopus subject areas

  • Mathematics(all)

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