An isoperimetric function for Bestvina-Brady groups

WJ Dison

Research output: Contribution to journalArticle (Academic Journal)

5 Citations (Scopus)

Abstract

Given a right-angled Artin group A, the associated Bestvina–Brady group is defined to be the kernel of the homomorphism A → ℤ that maps each generator in the standard presentation of A to a fixed generator of ℤ. We prove that the Dehn function of an arbitrary finitely presented Bestvina–Brady group is bounded above by n4. This is the best possible universal upper bound.
Translated title of the contributionAn isoperimetric function for Bestvina-Brady groups
Original languageEnglish
Pages (from-to)384 - 394
Number of pages11
JournalBulletin of the London Mathematical Society
Volume40, number 3
DOIs
Publication statusPublished - Jun 2008

Bibliographical note

Publisher: Oxford University Press

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