A new criterion for p-nilpotency and solvability of finite groups by coprime actions

被引：1

作者：

Zhang, Boru ^{[1
]}

Lu, Jiakuan ^{[1
]}

Meng, Wei ^{[2
,3
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Ctr Appl Math Guangxi, Guilin, Guangxi, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin, Guangxi, Peoples R China

[3] Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Coprime action; p-nilpotent; S-semipermutable; Soluble group; MINIMAL SUBGROUPS; SUPERSOLVABILITY;

D O I：

10.1080/00927872.2024.2395990

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G and A be finite groups of relative coprime orders and A acts on G via automorphisms. In this paper, we investigate the p-nilpotency and solvability of finite groups in which every maximal A-invariant subgroup of a Sylow p-subgroup of G for some prime p is S-semipermutable.

引用

页码：994 / 1003

页数：10

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