THE INFLUENCE OF dr-SUBGROUPS ON p-NILPOTENCY AND p-SUPERSOLVABILITY OF FINITE GROUPS

被引：0

作者：

Yan, Quanfu ^{[1
]}

Shen, Zhencai ^{[2
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] China Agr Univ, Dept Math, Beijing, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2024年 / 13卷 / 01期

关键词：

dr-subgroup; weakly dr-subgroup; p-supersolvablility; p-nilpotency;

D O I：

10.22108/ijgt.2023.135208.1806

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. A subgroup H of G is an dr-subgroup in G if NG(H) boolean AND Hg <= H for any g is an element of G. In this article, by using the concept of dr-subgroups, we study the influence of the intersection of Op(G*p) and the members of some fixed Md(P) on the structure of the group G, where P is a Sylow p-subgroup of G. Some new criteria for a group to be p-nilpotent and p-supersolvable are given and some recent results are extended and generalized.

引用

页码：55 / 62

页数：8

共 16 条

[1] ON WEAKLY H-SUBGROUPS OF FINITE GROUPS [J].