On weakly H-subgroups of finite groups II

被引：3

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

[31] On finite groups with weakly σ-normal subgroups
Tang, Juping
Ji, Jiuzhou
Yang, Nanying
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[32] WEAKLY NORMAL SUBGROUPS OF FINITE GROUPS
Li, Xianhua
Zhao, Tao
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2010, 41 (06): : 745 - 753
[33] On weakly τ-quasinormal subgroups of finite groups
Lukyanenko, V. O.
Skiba, A. N.
ACTA MATHEMATICA HUNGARICA, 2009, 125 (03) : 237 - 248
[34] On weakly closed subgroups of finite groups
Shen, Zhencai
Chen, Yingyi
Li, Shirong
MONATSHEFTE FUR MATHEMATIK, 2014, 175 (04): : 629 - 638
[35] On weakly σ-permutable subgroups of finite groups
Zhang, Chi
Wu, Zhenfeng
Guo, Wenbin
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 91 (3-4): : 489 - 502
[36] Weakly normal subgroups of finite groups
Xianhua Li
Tao Zhao
Indian Journal of Pure and Applied Mathematics, 2010, 41 : 745 - 753
[37] On weakly pronormal subgroups of finite groups
Asaad, Mohamed
JOURNAL OF GROUP THEORY, 2014, 17 (03) : 407 - 418
[38] 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
[39] 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
[40] 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

← 1 2 3 4 5 →