四川师范大学学报（自然科学版）2003，Vol.26Issue(3)：221-224,4.
关于有限群的一些Pronormal子群I
On Some Pronormal Subgroups of Finite Groups I
王坤仁1
作者信息
- 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
- 折叠
摘要
Abstract
The main object of this paper is to show the following theorem:If every maximal subgroup of a Sylow p-subgroup Fp, let G be a finite groop andF*(G) the generalized Fitting subgroup of G, F*(G) is pronormal in NG(Fp) for all primes p∈π(F*(G)), and all the cyclic subgroups with order 2 or 4 of a Sylow 2-subgroup F2 of F*(G) are pronomal in NG(F2), then G is supersolvable.关键词
Pronormal/超可解/饱和群系/广义费丁子群Key words
Pronormal/Supersolvable/Saturated formation/Generalized Fitting subgroup分类
数理科学引用本文复制引用
王坤仁..关于有限群的一些Pronormal子群I[J].四川师范大学学报（自然科学版）,2003,26(3):221-224,4.
