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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 2

On some second maximal subgroups of non-solvable groups

Yuyun Wang(Yangzhou University)0000-0002-0145-929X
Long Miao(Hohai University)0000-0001-5286-3690
Wei Liu(Yangzhou University)0000-0003-0080-8133
Pages
—
Publication Date
2023-03-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we investigate the influence of some second maximal subgroups which are related to non-$c_{p}$-normal maximal subgroups on the structure of $S_{p}'$.

📌 3 Key Takeaways

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Objective & Hypothesis:We call a group $G$ belongs to the class of groups $S_{p}'$, if for every $pd$-chief factor $A/B$ of $G$, $((A/B)_{p})'=1$.
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Key Findings & Data:We call a group $G$ belongs to the class of groups $S_{p}'$, if for every $pd$-chief factor $A/B$ of $G$, $((A/B)_{p})'=1$.
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Conclusion & Impact:In this paper, we investigate the influence of some second maximal subgroups which are related to non-$c_{p}$-normal maximal subgroups on the structure of $S_{p}'$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:second maximal subgroups · maximal subgroups · simple groups

Abstract

We call a group $G$ belongs to the class of groups $S_{p}'$, if for every $pd$-chief factor $A/B$ of $G$, $((A/B)_{p})'=1$. In this paper, we investigate the influence of some second maximal subgroups which are related to non-$c_{p}$-normal maximal subgroups on the structure of $S_{p}'$.

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Cite This Article

Wang, Y., Miao, L., Liu, W. (2023). On some second maximal subgroups of non-solvable groups. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 2. https://doi.org/10.15672/hujms.1106486

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