Embedability of right-angled Artin groups into hierarchically hyperbolic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912567008428032 |
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| author | Oh, Sangrok Park, Jihoon |
| author_facet | Oh, Sangrok Park, Jihoon |
| contents | For a hierarchically hyperbolic group, we provide sufficient conditions under which suitable powers of a finite collection of elements generate a right-angled Artin subgroup. Under additional hypotheses, we further show that this subgroup can be promoted to be quasi-isometrically embedded. Our framework recovers and unifies earlier results, including those of Clay-Leininger-Mangahas \cite{CLM12} and Runnels \cite{Run21} for mapping class groups, and of Kim-Koberda \cite{KK13} for right-angled Artin groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Embedability of right-angled Artin groups into hierarchically hyperbolic groups Oh, Sangrok Park, Jihoon Group Theory 20F65, 20F67 For a hierarchically hyperbolic group, we provide sufficient conditions under which suitable powers of a finite collection of elements generate a right-angled Artin subgroup. Under additional hypotheses, we further show that this subgroup can be promoted to be quasi-isometrically embedded. Our framework recovers and unifies earlier results, including those of Clay-Leininger-Mangahas \cite{CLM12} and Runnels \cite{Run21} for mapping class groups, and of Kim-Koberda \cite{KK13} for right-angled Artin groups. |
| title | Embedability of right-angled Artin groups into hierarchically hyperbolic groups |
| topic | Group Theory 20F65, 20F67 |
| url | https://arxiv.org/abs/2509.02454 |