ON WEAKLY S-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

被引：0

作者：

Mohamed, M. Ezzat ^{[1
]}

机构：

[1] Taibah Univ, Dept Math, Fac Sci, Almadinah Almunawwarah, Saudi Arabia

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2010年 / 35卷 / 2D期

关键词：

Saturated formation; supersolvable groups; weakly s-supplemented subgroups; MINIMAL SUBGROUPS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A subgroup H of a finite group G is said to be weakly s-supplemented in G if G has a subgroup K such that G = HK and H boolean AND K <= H(s)G, where H(s)G is the subgroup of H generated by all subgroups of H which are S-permutable in G. We are interested in studying the influence of the weakly s-supplemented subgroups of prime power order on the structure of finite groups.

引用

页码：235 / 240

页数：6

共 50 条

[1] FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS
Guo, Wenbin
Shum, K. P.
Xie, Fengyan
GLASGOW MATHEMATICAL JOURNAL, 2011, 53 : 211 - 222
[2] ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
Li, Yangming
Li, Baojun
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (05) : 811 - 820
[3] WEAKLY S-SUPPLEMENTED SUBGROUPS AND P-NILPOTENCY OF FINITE GROUPS
Qiao, Shouhong
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (06) : 795 - 808
[4] On ss-quasinormal and weakly s-supplemented subgroups of finite groups
Li, C.
Li, Y.
UKRAINIAN MATHEMATICAL JOURNAL, 2012, 63 (12) : 1845 - 1854
[5] On S-Quasinormally Embedded and Weakly S-Supplemented Subgroups of Finite Groups
Li, Changwen
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011, 36 (03) : 451 - 459
[6] Groups in which some primary subgroups are weakly s-supplemented
Li, Baojun
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 86 (3-4): : 347 - 362
[7] Finite groups with S-supplemented p-subgroups
Yang, N.
Guo, W.
Shemetkova, O. L.
SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (02) : 371 - 376
[8] Finite groups with some weakly SΦ-supplemented subgroups
Asaad, Mohamed
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,
[9] ON WEAKLY ss-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
Zhong, Guo
Lin, Shixun
Han, Yan
Zhou, Guoqiong
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2022, 75 (12): : 1715 - 1724
[10] On Minimal Weakly NS*-Supplemented Subgroups of Finite Groups
Wu, Xianghua
Zhong, Xianggui
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (02) : 283 - 290

← 1 2 3 4 5 →