An Isoperimetric Function for Bestvina-Brady Groups

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dc.creatorDison, Will
dc.date2007-05-29
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:13:11Z
dc.date.available2026-07-07T12:13:11Z
dc.descriptionGiven 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.
dc.description11 pages, 1 figure. Minor typos corrected and cosmetic changes made. Final version
dc.identifierhttps://arxiv.org/abs/0705.4220
dc.identifierhttp://arxiv.org/abs/0705.4220
dc.identifierBull. Lond. Math. Soc. 40 (2008), no. 3, 384-394
dc.identifierdoi:10.1112/blms/bdn019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210761
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F65 (primary); 20F10, 20F36 (secondary).
dc.titleAn Isoperimetric Function for Bestvina-Brady Groups
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