Complete Classification of the Dehn Functions of Bestvina–Brady Groups
Abstract
Abstract 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 on the defining graph to determine the degree of this polynomial. As a consequence, we identify an obstruction that prevents certain Bestvina–Brady groups from admitting a CAT(0) structure.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Combinatorial Mathematics
Finite Group Theory Research
Publication details
- Journal / source
- Geometric and Functional Analysis
- Volume
- 36
- Issue
- 1
- Pages
- 1–58
- Publication date
- 1 February 2026
- Language
- EN