On small Sylow numbers of finite groups
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2406.15437
- arXiv:
- arXiv:2406.15437
- Bibcode:
- 2024arXiv240615437G
- Keywords:
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- Mathematics - Group Theory