On weakly closed subgroups of finite groups

被引：2

作者：

Shen, Zhencai ^{[1
]}

Chen, Yingyi ^{[2
]}

Li, Shirong ^{[3
]}

机构：

[1] China Agr Univ, Coll Sci, Dept Math, Beijing 100083, Peoples R China

[2] China Agr Univ, Coll Informat & Elect Engn, Beijing 100083, Peoples R China

[3] Guangxi Univ, Dept Math, Nanning 530004, Guangxi, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2014年 / 175卷 / 04期

关键词：

Weakly closed subgroup; Nilpotent group; Supersolvable group; SYLOW SUBGROUPS; ELEMENTS;

D O I：

10.1007/s00605-014-0619-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that is a finite group and , are subgroups of . We say that is weakly closed in with respect to if, for any such that , we have . In particular, when is a subgroup of prime-power order and is a Sylow subgroup containing it, is simply said to be a weakly closed subgroup of or weakly closed in . In the paper, we investigate the structure of finite groups by means of weakly closed subgroups.

引用

页码：629 / 638

页数：10

共 17 条

[1] [Anonymous], 1968, ENDLICHE GRUPPEN
[2] On p-nilpotence and supersolvability of finite groups
Asaad, M
[J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (01) : 189 - 195
[3] Aschbacher M., 2011, FUSION SYSTEMS ALGEB
[4] On minimal subgroups of finite groups
Ballester-Bolinches, A
Pedraza-Aguilera, MC
[J]. ACTA MATHEMATICA HUNGARICA, 1996, 73 (04) : 335 - 342
[5] Sufficient conditions for supersolubility of finite groups
Ballester-Bolinches, A
Pedraza-Aguilera, MC
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1998, 127 (02) : 113 - 118
[6] Ballester-Bolinches A., 2006, MATH ITS APPL, V584
[7] Doerk K., 1992, De Gruyter Exp. Math., V4, pxiv + 891
[8] WEAKLY CLOSED CYCLIC 2-GROUPS IN FINITE-GROUPS
FUKUSHIMA, H
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1978, 30 (01) : 133 - 137
[9] WEAKLY CLOSED ELEMENTS OF SYLOW SUBGROUPS
GLAUBERM.G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1968, 107 (01) : 1 - &
[10] CENTRAL ELEMENTS IN CORE-FREE GROUPS
GLAUBERMAN, G
[J]. JOURNAL OF ALGEBRA, 1966, 4 (03) : 403 - +

← 1 2 →