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arXiv · 1911.00588

Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs

Yu-Chan Chang
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Abstract

Let $Γ$ be a finite simplicial graph such that the flag complex on $Γ$ 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 $Γ$.

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Yu-Chan Chang. 2021-02-01. Identifying Dehn Functions of Bestvina--Brady Groups From Their Defining Graphs. https://arxiv.org/abs/1911.00588

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