Finite Groups in Which Every Maximal Subgroup Is Nilpotent or a TI-Subgroup or Has Order p'

被引：1

作者：

Shi, Jiangtao ^{[1
]}

机构：

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

来源：

ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 01期

关键词：

maximal subgroup; nilpotent; TI-subgroup; p'-order;

D O I：

10.1142/S1005386723000135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a complete characterization of the structure of a finite group G in which every maximal subgroup is nilpotent or a TI-subgroup or has order p' for any fixed prime divisor p of | G | . Moreover, we show that there exists at most one prime divisor q of | G | such that G is neither q -nilpotent nor q -closed.

引用

页码：165 / 168

页数：4

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