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Dergiler / 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
Sayfa
—
Yayın Tarihi
2023-03-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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 $S_{p}'$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (16)

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