An Isoperimetric Function for Bestvina-Brady Groups

Details An Isoperimetric Function for Bestvina-Brady Groups An Isoperimetric Function for Bestvina-Brady Groups

2007-05-29

arxiv.org/abs/0705.4220v2

Bull. Lond. Math. Soc. 40 (2008), no. 3, 384-394

Mathematics

Group Theory

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

Scientific paper

10.1112/blms/bdn019

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.

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