An isoperimetric function for Bestvina-Brady groups

WJ Dison

doi:10.1112/blms/bdn019

An isoperimetric function for Bestvina-Brady groups

WJ Dison

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

9 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 contribution	An isoperimetric function for Bestvina-Brady groups
Original language	English
Pages (from-to)	384 - 394
Number of pages	11
Journal	Bulletin of the London Mathematical Society
Volume	40, number 3
DOIs	https://doi.org/10.1112/blms/bdn019
Publication status	Published - Jun 2008

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Publisher: Oxford University Press

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title = "An isoperimetric function for Bestvina-Brady groups",

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.",

author = "WJ Dison",

note = "Publisher: Oxford University Press",

year = "2008",

month = jun,

doi = "10.1112/blms/bdn019",

language = "English",

volume = "40, number 3",

pages = "384 -- 394",

journal = "Bulletin of the London Mathematical Society",

issn = "1469-2120",

publisher = "John Wiley \& Sons, Ltd.",

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T1 - An isoperimetric function for Bestvina-Brady groups

AU - Dison, WJ

N1 - Publisher: Oxford University Press

PY - 2008/6

Y1 - 2008/6

N2 - 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.

AB - 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.

U2 - 10.1112/blms/bdn019

DO - 10.1112/blms/bdn019

M3 - Article (Academic Journal)

SN - 1469-2120

VL - 40, number 3

SP - 384

EP - 394

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -

An isoperimetric function for Bestvina-Brady groups

Abstract

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