May 29, 2024Open Access

On small Sylow numbers of finite groups

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Abstract

Let G be a finite group and nₚ(G) the number of Sylow p-subgroups of G. In this paper, we prove if nₚ(G)<p² then almost all numbers nₚ(G) are a power of a prime.

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Gao et al. (2024) studied this question.

synapsesocial.com/papers/68e67f77b6db64358760947f https://doi.org/10.48550/arxiv.2406.15437

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Abstract

Let G be a finite group and nₚ(G) the number of Sylow p-subgroups of G. In this paper, we prove if nₚ(G)<p² then almost all numbers nₚ(G) are a power of a prime.

On small Sylow numbers of finite groups

Abstract

Discussion

Cite This Study

On small Sylow numbers of finite groups

Abstract

Discussion

Cite This Study

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