A note on finite groups in which every non-nilpotent maximal subgroup has prime index

被引：1

作者：

Shi, Jiangtao ^{[1
]}

Liu, Wenjing ^{[1
]}

Tian, Yunfeng ^{[1
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 09期

关键词：

Non-nilpotent maximal subgroup; prime index; normal; p-complement;

D O I：

10.1142/S0219498824501354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group in which every non-nilpotent maximal subgroup has prime index and p the largest prime divisor of |G|, without using the solvability of G we prove that either the Sylow p-subgroup of G is normal or G has a normal p-complement.

引用

页数：6

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