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Bulletin of the London Mathematical Society Advance Access originally published online on April 23, 2008
Bulletin of the London Mathematical Society 2008 40(3):384-394; doi:10.1112/blms/bdn019
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© 2008 London Mathematical Society

An isoperimetric function for Bestvina–Brady groups

Will Dison

Department of Mathematics
South Kensington Campus
Imperial College London
London
SW7 2AZ
United Kingdom

Received 5 May 2007. Revision received 6 November 2007.

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.

2000 Mathematics Subject Classification 20F65 (primary), 20F10, 20F36 (secondary).


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