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arXiv · 2406.15437

On small Sylow numbers of finite groups

Xiaofang Gao·Igor Lima·Rulin Shen
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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.

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Xiaofang Gao, Igor Lima, Rulin Shen. 2024-05-29. On small Sylow numbers of finite groups. https://arxiv.org/abs/2406.15437

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