Complete classification of the Dehn functions of Bestvina-Brady groups
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908739426058240 |
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| author | Chang, Yu-Chan García-Mejía, Jerónimo Migliorini, Matteo |
| author_facet | Chang, Yu-Chan García-Mejía, Jerónimo Migliorini, Matteo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete classification of the Dehn functions of Bestvina-Brady groups Chang, Yu-Chan García-Mejía, Jerónimo Migliorini, Matteo Group Theory Geometric Topology 20F69 (Primary) 20F05, 20F38, 20F65, 51F30 (Secondary) 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. |
| title | Complete classification of the Dehn functions of Bestvina-Brady groups |
| topic | Group Theory Geometric Topology 20F69 (Primary) 20F05, 20F38, 20F65, 51F30 (Secondary) |
| url | https://arxiv.org/abs/2507.07566 |