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arXiv · 0705.4220

An Isoperimetric Function for Bestvina-Brady Groups

Will Dison
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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.

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Will Dison. 2008-12-17. An Isoperimetric Function for Bestvina-Brady Groups. https://doi.org/10.1112/blms%2Fbdn019

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