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Tingting Li, Finite non-solvable groups with few sum of numbers of Sylow subgroups, Eur. J. Math. Appl. 6 (2026), Article ID 4.

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Volume 6 (2026), Article ID 4

https://doi.org/10.28919/ejma.2026.6.4

Published: 15/05/2026

Abstract:

Let $G$ be a finite group and $n_p(G)$ be the number of Sylow $p$-subgroups of $G$. Let $S(G)=\{p\in \pi(G) \colon n_p(G)>1 \}$ and define $\delta_0(G)=\sum_{p \in S(G)}n_p(G)$. Denote by $Sol(G)$ the solvable radical. In this paper, if $G$ is non-solvable and $\delta_0(G)\leq 1000$, we classify $G/Sol(G)$ completely.

How to Cite:

Tingting Li, Finite non-solvable groups with few sum of numbers of Sylow subgroups, Eur. J. Math. Appl. 6 (2026), Article ID 4. https://doi.org/10.28919/ejma.2026.6.4