Coarse separation and splittings in right-angled Artin groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914422614654976 |
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| author | Bensaid, Oussama Genevois, Anthony Tessera, Romain |
| author_facet | Bensaid, Oussama Genevois, Anthony Tessera, Romain |
| contents | In this article, we characterise geometrically when a right-angled Artin group splits over an abelian subgroup. More precisely, given a finite graph $Γ$, we show that $A(Γ)$ splits over an abelian subgroup if and only if it is coarsely separable by a family of subexponential growth, which amounts to saying that $Γ$ is complete or separated by a complete subgraph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24706 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coarse separation and splittings in right-angled Artin groups Bensaid, Oussama Genevois, Anthony Tessera, Romain Group Theory Metric Geometry 20F65, 20F67, 20F69 In this article, we characterise geometrically when a right-angled Artin group splits over an abelian subgroup. More precisely, given a finite graph $Γ$, we show that $A(Γ)$ splits over an abelian subgroup if and only if it is coarsely separable by a family of subexponential growth, which amounts to saying that $Γ$ is complete or separated by a complete subgraph. |
| title | Coarse separation and splittings in right-angled Artin groups |
| topic | Group Theory Metric Geometry 20F65, 20F67, 20F69 |
| url | https://arxiv.org/abs/2603.24706 |