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 | |
| Publication status | Published - Jun 2008 |