May 29, 2024Open Access

On small Sylow numbers of finite groups

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Gao et al. (Wed,) studied this question.

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

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1<i>p</i>-Singular characters and normal Sylow <i>p</i>-subgroups2024
2Fixed point ratios, Sylow numbers and coverings of $p$-elements in finite groups2024
3Commuting probability for conjugate subgroups of a finite group2025
4On the maximal overgroups of Sylow subgroups of finite groups2024 · 6 citations
5Rank type conditions on commutators in finite groups2024

Bookmark

View Full Paper