The influence of c-subnormality subgroups on the structure of finite groups

被引：0

作者：

Jaraden, Dana ^{[1
]}

Ateiwi, Ali ^{[2
]}

Jaraden, Jehad ^{[2
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

[2] Al Hussein Bin Talal Univ, Dept Math, Maan, Jordan

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年 / 32卷 / 01期

关键词：

p-nilpotent group; c-subnormal subgroup; Sylow subgroup; supersolvable group; MINIMAL SUBGROUPS; SYLOW SUBGROUPS; NORMALITY;

D O I：

10.1515/gmj-2024-2036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a subgroup of a group G. We say that H is c-subnormal in G if there exists a subnormal subgroup T of G such that HT = G and H boolean AND T <= H-G, where H-G is the maximal normal subgroup of G which is contained in H. In this paper, we investigate the structure of a finite group G under the assumption that all maximal subgroups are c-subnormal subgroups and present some new conditions for supersolvability.

引用

页码：77 / 82

页数：6

共 50 条

[21] The influence of complemented minimal subgroups on the structure of finite groups
Lu, Jiakuan
Li, Shirong
Guo, Xiuyun
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (3-4): : 481 - 491
[22] The influence of SΦ-supplemented subgroups on the structure of finite groups
He, Xuanli
Guo, Qinghong
Wang, Ju
COMMUNICATIONS IN ALGEBRA, 2022, 50 (12) : 5296 - 5302
[23] On primary subgroups and the structure of finite groups
Zhou, Qiang
Pan, Hong
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (46): : 1 - 7
[24] Weakly c-permutable subgroups of finite groups
Guo, Wenbin
Chen, Sheng
JOURNAL OF ALGEBRA, 2010, 324 (09) : 2369 - 2381
[25] Influence of weakly H-subgroups of minimal subgroups on the structure of finite groups
Al-Shomrani, M. M.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (02): : 139 - 147
[26] The influence of s-conditionally permutable subgroups on finite groups
Li BaoJun
Zhang ZhiRang
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 301 - 310
[27] ON σ-SUBNORMALITY OF SYLOW SUBGROUPS IN A FINITE GROUP
Kamornikov, S. F.
Tyutyanov, V. N.
Shemetkova, O. L.
SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (02) : 230 - 238
[28] The influence of M-supplemented subgroups on the structure of finite groups
Miao, Long
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2009, 40 (04): : 495 - 509
[29] The influence of X-semipermutability of subgroups on the structure of finite groups
Chen GuiYun
Li JinBao
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 261 - 271
[30] The influence of weakly SΦ-supplemented subgroups on the structure of finite groups
Asaad, Mohamed
PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 102 (1-2): : 189 - 195

← 1 2 3 4 5 →