On Π-property of some maximal subgroups of Sylow subgroups of finite groups

被引：0

作者：

Qiu, Zhengtian ^{[1
]}

Liu, Jianjun ^{[1
]}

Chen, Guiyun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Tiansheng Rd, Chongqing 400715, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 04期

基金：

中国国家自然科学基金;

关键词：

finite group; p-supersoluble group; p-nilpotent group; pi-property; S-SEMIPERMUTABLE SUBGROUPS;

D O I：

10.21136/CMJ.2023.0089-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a subgroup of a finite group G. We say that H satisfies the Pi-property in G if for any chief factor L/K of G, divided by G/K: N-G/K(HK/K boolean AND L/K)divided by is a pi(HK/K boolean AND L/K)-number. We study the influence of some p-subgroups of G satisfying the Pi-property on the structure of G, and generalize some known results.

引用

页码：1349 / 1358

页数：10

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