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math.GR2025
Complete classification of the Dehn functions of Bestvina-Brady groups
Yu-Chan Chang, Jerónimo García-Mejía, Matteo Migliorini
We prove that the Dehn function of every finitely presented Bestvina-Brady group grows as a linear, quadratic, cubic, or quartic polynomial. In fact, we provide explicit criteria o…
math.GR2019
Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs
Yu-Chan Chang
Let be a finite simplicial graph such that the flag complex on is a -dimensional triangulated disk. We show that with some assumptions, the Dehn function of the associat…