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Journals / Hacettepe Journal of Mathematics and Statistics / 2023 / Cilt: 52 - Sayı: 2

On some second maximal subgroups of non-solvable groups

Yuyun WANG
Long MİAO
Wei LİU
Pages
367–373
Publication Date
2023-03-31
DOI
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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

🎯
Objective & Hypothesis:We call a group $G$ belongs to the class of groups $S_{p}'$, if for every $pd$-chief factor $A/B$ of $G$, $((A/B)_{p})'=1$.
📊
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 $G$, $((A/B)_{p})'=1$.
💡
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., MİAO, L., LİU, W. (2023). On some second maximal subgroups of non-solvable groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 52 - Sayı: 2, 367–373. https://ajindex.com/articles/886286

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