An Isoperimetric Function for Bestvina-Brady Groups

Abstract

Given a right-angled Artin group A, the associated Bestvina-Brady group is defined to be the kernel of the homomorphism A \to \mathbb{Z} that maps each generator in the standard presentation of A to a fixed generator of \mathbb{Z}. We prove that the Dehn function of an arbitrary finitely presented Bestvina-Brady group is bounded above by n^4. This is the best possible universal upper bound.

11 pages, 1 figure. Minor typos corrected and cosmetic changes made. Final version

Cited by in corpus (7)

• On the Subgroups of Right Angled Artin Groups and Mapping Class Groups
• Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs
• The Dehn function of Baumslag's Metabelian Group
• Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups
• Complete classification of the Dehn functions of Bestvina-Brady groups
• Dehn functions of coabelian subgroups of direct products of groups
• Isomorphisms Between Bestsvina--Brady Groups and Right-angled Artin Groups