On Uc-normal subgroups of finite groups

被引：0

作者：

Ahmad, A. Y. Alsheik ^{[1
]}

Jaraden, J. J.

Skiba, Alexander N.

机构：

[1] Jerash Private Univ, Dept Math, Jerash, Jordan

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

[3] Gomel State Univ F Skorina, Dept Math, Gomel 246028, BELARUS

来源：

ALGEBRA COLLOQUIUM | 2007年 / 14卷 / 01期

关键词：

finite group; saturated formation; U-c-normal subgroup; Sylow subgroup; normal subgroup; maximal subgroup;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. We say that a subgroup H of G is U-c-normal in G if G has a subnormal subgroup T such that TH = G and (H boolean AND T)H-G/H-G is contained in the U-hypercenter Z(infinity)(U) (G/H-G) of G/H-G, where U is the class of the finite supersoluble groups. We study the structure of G under the assumption that some subgroups of G are U-c-normal in G.

引用

页码：25 / 36

页数：12

共 18 条

[1]

ALSHEIKAHMAD A, 2004, ALGEBRA DISCRETE MAT, P9

[2]

[Anonymous], 1978, FINITE GROUPS

[3] Finite groups with some C-normal minimal subgroups [J].