Criteria for nilpotency of fusion systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909111394762752 |
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| author | Jian, Jie Liao, Jun Liu, Heguo |
| author_facet | Jian, Jie Liao, Jun Liu, Heguo |
| contents | Let $p$ be an odd prime and let $\mathcal{F}$ be a fusion system over a finite $p$-group $P$. A fusion system $\mathcal{F}$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{P}(P)$. In this paper we provide new criteria for saturated fusion systems $\mathcal{F}$ to be nilpotent, which can be viewed as extension of the $p$-nilpotency theorem of Glauberman and Thompson for fusion systems attributed to Kessar and Linckelmann. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Criteria for nilpotency of fusion systems Jian, Jie Liao, Jun Liu, Heguo Group Theory 20F19, 20J15 Let $p$ be an odd prime and let $\mathcal{F}$ be a fusion system over a finite $p$-group $P$. A fusion system $\mathcal{F}$ is said to be nilpotent if $\mathcal{F}=\mathcal{F}_{P}(P)$. In this paper we provide new criteria for saturated fusion systems $\mathcal{F}$ to be nilpotent, which can be viewed as extension of the $p$-nilpotency theorem of Glauberman and Thompson for fusion systems attributed to Kessar and Linckelmann. |
| title | Criteria for nilpotency of fusion systems |
| topic | Group Theory 20F19, 20J15 |
| url | https://arxiv.org/abs/2402.11629 |