On weakly H-subgroups of finite groups II

被引：5

作者：

Chen, Ruifang ^{[1
]}

Li, Xiaoli ^{[1
]}

Zhao, Xianhe ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 09期

基金：

中国国家自然科学基金;

关键词：

p-nilpotent group; supersolvable group; weakly H-subgroup; C-NORMALITY; SUPERSOLVABILITY;

D O I：

10.1080/00927872.2022.2057510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group. A subgroup H of G is called an H-subgroup in G if N-G(H) boolean AND H-x <= H for all x is an element of G. Furthermore, a subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H boolean AND K is an H-subgroup in G. In this article, some new criteria for a group to be p-nilpotent and supersolvable are given.

引用

页码：4009 / 4015

页数：7

共 18 条

[11]

Li DY, 2000, J PURE APPL ALGEBRA, V150, P53

[12] Finite groups with some pronormal subgroups [J].

Liu, Jianjun ;

Chang, Jian ;

Chen, Guiyun .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (06)

[13]

ROBINSON DJS, 1996, COURSE THEORY GROUPS

[14] On weakly s-permutable subgroups of finite groups [J].

Skiba, Alexander N. .

JOURNAL OF ALGEBRA, 2007, 315 (01) :192-209

[15] 2 SUFFICIENT CONDITIONS FOR SUPERSOLVABILITY OF FINITE-GROUPS [J].

SRINIVASAN, S .

ISRAEL JOURNAL OF MATHEMATICS, 1980, 35 (03) :210-214

[16]

Tate J., 1964, TOPOLOGY, V3, P109

[17] C-normality of groups and its properties [J].

Wang, YM .

JOURNAL OF ALGEBRA, 1996, 180 (03) :954-965

[18]

Wei HQ, 2001, COMMUN ALGEBRA, V29, P2193

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