On small Sylow numbers of finite groups
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916297269313536 |
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| author | Gao, Xiaofang Lima, Igor Shen, Rulin |
| author_facet | Gao, Xiaofang Lima, Igor Shen, Rulin |
| contents | Let $G$ be a finite group and $n_p(G)$ the number of Sylow $p$-subgroups of $G$. In this paper, we prove if $n_p(G)<p^2$ then almost all numbers $n_p(G)$ are a power of a prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On small Sylow numbers of finite groups Gao, Xiaofang Lima, Igor Shen, Rulin Group Theory Let $G$ be a finite group and $n_p(G)$ the number of Sylow $p$-subgroups of $G$. In this paper, we prove if $n_p(G)<p^2$ then almost all numbers $n_p(G)$ are a power of a prime. |
| title | On small Sylow numbers of finite groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2406.15437 |