Complete Classification of the Dehn Functions of Bestvina–Brady Groups
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.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 1016-443X, 1420-8970 KITopen-ID: 1000190369 |
| Erschienen in | Geometric and Functional Analysis |
| Verlag | Springer |
| Seiten | 1-58 |
| Vorab online veröffentlicht am | 02.02.2026 |
| Schlagwörter | Dehn functions, Filling invariants, Bestvina–Brady groups, Subgroups of right-angled Artin groups, Asymptotic cones |
| Nachgewiesen in | Web of Science OpenAlex |