Finite groups with some solvable SNS-groups

被引：0

作者：

Wang, Wanlin ^{[1
]}

Guo, Pengfei ^{[1
]}

机构：

[1] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Hainan, Peoples R China

来源：

RICERCHE DI MATEMATICA | 2024年 / 73卷 / 05期

基金：

中国国家自然科学基金;

关键词：

SNS-group; Maximal subgroup; Solvable group; Simple group;

D O I：

10.1007/s11587-023-00802-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite group G is called an SNS-group if every subgroup of G is either subnormal in G or self-normalizing. In this article, we investigate the structure of finite groups which are not SNS-groups but all of whose maximal subgroups of even order are SNS-groups. In addition, we determine the minimal simple groups all of whose second maximal subgroups (respectively, second maximal subgroups of even order) are SNS-groups.

引用

页码：2837 / 2847

页数：11

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