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.
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页数：6
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