A note on p-nilpotency of finite groups

被引：0

作者：

Li, Changwen ^{[1
]}

Huang, Jianhong ^{[1
]}

Hu, Bin ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 179卷 / 02期

关键词：

S-permutable; E-S-supplemented; p-nilpotent; S-PERMUTABLE SUBGROUPS;

D O I：

10.1007/s00605-015-0733-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give two new conditions for a finite group to be p-nilpotent under the assumption that all subgroups with an any fixed order are E-S-supplemented, and some recent results are generalized.

引用

页码：253 / 258

页数：6

共 15 条

[1] 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

[2]

Ballester-Bolinches A., 2010, PRODUCTS OF FINITE G

[3]

Gorenstein D., 1980, FINITE GROUP, V2nd

[4] On c-normal maximal and minimal subgroups of Sylow p-subgroups of finite groups [J].

Guo, XY ;

Shum, KP .

ARCHIV DER MATHEMATIK, 2003, 80 (06) :561-569

[5]

Huppert B., 1967, Grund. Math. Wiss., V134

[6]

Kegel O. H., 1962, MATH Z, V78, P205, DOI DOI 10.1007/BF01195169

[7]

Kong QJ, 2014, MONATSH MATH, V175, P133, DOI 10.1007/s00605-013-0570-6

[8] Finite p-supersoluble groups with some E-S-supplemented subgroups [J].

Li, Changwen ;

Yu, Xiaolong ;

Tang, Na .

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2015, 133 :79-90

[9] ON E-S-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS [J].

Li, Changwen ;

Zhang, Xuemei ;

Yi, Xiaolan .

COLLOQUIUM MATHEMATICUM, 2013, 131 (01) :41-51

[10] On p-nilpotency of finite groups with some subgroups π-quasinormally embedded [J].

Li, YM ;

Wang, YM ;

Wei, HQ .

ACTA MATHEMATICA HUNGARICA, 2005, 108 (04) :283-298

← 1 2 →