Identifying Dehn functions of Bestvina–Brady groups from their defining graphs

@article{Chang2021IdentifyingDF,
  title={Identifying Dehn functions of Bestvina–Brady groups from their defining graphs},
  author={Yu-Chan Chang},
  journal={Geometriae Dedicata},
  year={2021},
  pages={1-29}
}
  • Yu-Chan Chang
  • Published 5 March 2021
  • Mathematics
  • Geometriae Dedicata
Let $$\Gamma $$ be a finite simplicial graph such that the flag complex on $$\Gamma $$ is a 2-dimensional triangulated disk. We show that with some assumptions, the Dehn function of the associated Bestvina–Brady group is either quadratic, cubic, or quartic. Furthermore, we can identify the Dehn function from the defining graph $$\Gamma $$ . 
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