Finite groups with Hall normally embedded subgroups

被引：7

作者：

Guo, Qinghong ^{[1
]}

He, Xuanli ^{[1
]}

Huang, Muhong ^{[1
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 09期

关键词：

Hall normally embedded subgroup; p-nilpotent group; finite group; SUFFICIENT CONDITIONS; PI-QUASINORMALITY; MINIMAL SUBGROUPS;

D O I：

10.1142/S0219498823501943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. A subgroup H of G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure H-G. In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups of prime power order are Hall normally embedded in G.

引用

页数：13

共 20 条

[1] Finite groups whose minimal subgroups are c-supplemented [J].

Asaad, M. ;

Ramadan, M. .

COMMUNICATIONS IN ALGEBRA, 2008, 36 (03) :1034-1040

[2] On c-supplemented subgroups of finite groups [J].

Asaad, Mohamed .

JOURNAL OF ALGEBRA, 2012, 362 :1-11

[3] Sufficient conditions for supersolubility of finite groups [J].

Ballester-Bolinches, A ;

Pedraza-Aguilera, MC .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 127 (02) :113-118

[4]

Doerk K., 1992, FINITE SOLUBLE GROUP, DOI DOI 10.1515/9783110870138

[5]

Gorenstein D., 1968, Finite Groups

[6]

Guo W., 2000, THEORY CLASSES GROUP

[7] G-covering systems of subgroups for classes of p-supersoluble and p-nilpotent finite groups [J].

Guo, WB ;

Shum, KP ;

Skiba, AN .

SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (03) :433-442

[8]

Huppert B., 1982, Finite groups III

[9]

Huppert B., 1967, ENDLICHE GRUPPEN

[10]

Ito N., 1955, NAGOYA MATH J, V9, P123, DOI DOI 10.1017/S0027763000023369

← 1 2 →