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 50 条

[41] On weakly s-permutably embedded subgroups of finite groups (II)
Yujian Huang
Yangming Li
Shouhong Qiao
Frontiers of Mathematics in China, 2013, 8 : 855 - 867
[42] On weakly s-permutably embedded subgroups of finite groups (II)
Huang, Yujian
Li, Yangming
Qiao, Shouhong
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (04) : 855 - 867
[43] ON WEAKLY s-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS II
Qiao, Shouhong
Wang, Yanming
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (01) : 41 - 49
[44] Influence of weakly H-embedded subgroups on the structure of finite groups
Asaad, Mohamed
Ramadan, Mohamed
Heliel, Abdelrahman
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 503 - 513
[45] A note on weakly closed subgroups of finite groups
Yu, Haoran
Lai, Yi
MONATSHEFTE FUR MATHEMATIK, 2016, 181 (03): : 745 - 747
[46] Finite Groups with Given Weakly σ-Permutable Subgroups
Cao, C.
Wu, Z.
Guo, W.
SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (01) : 157 - 165
[47] On weakly SΦ-supplemented subgroups of finite groups
Wu, Zh.
Mao, Y.
Guo, W.
SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (04) : 696 - 703
[48] Finite groups with given weakly τσ-quasinormal subgroups
Hussain, Muhammad Tanveer
Cao, Chenehen
Zhang, Li
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1706 - 1717
[49] On weakly BNA-subgroups of finite groups
Guo, Qinghong
He, Xuanli
Liu, Weijun
COMMUNICATIONS IN ALGEBRA, 2022, 50 (11) : 4746 - 4755
[50] On weakly s*-permutable subgroups of finite groups
Lv, Yubo
Li, Yangming
PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 103 (1-2): : 187 - 202

← 1 2 3 4 5 →