### 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 contribution | An isoperimetric function for Bestvina-Brady groups |
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Original language | English |

Pages (from-to) | 384 - 394 |

Number of pages | 11 |

Journal | Bulletin of the London Mathematical Society |

Volume | 40, number 3 |

DOIs | |

Publication status | Published - Jun 2008 |

### Bibliographical note

Publisher: Oxford University Press## Fingerprint Dive into the research topics of 'An isoperimetric function for Bestvina-Brady groups'. Together they form a unique fingerprint.

## Cite this

Dison, WJ. (2008). An isoperimetric function for Bestvina-Brady groups.

*Bulletin of the London Mathematical Society*,*40, number 3*, 384 - 394. https://doi.org/10.1112/blms/bdn019