The Influence of Minimal Subgroups on the Structure of Finite Groups

被引：14

作者：

Wang Y. ^{[1
]}

机构：

[1] Mathematics Department, Zhongshan University

来源：

Acta Mathematica Sinica | 2000年 / 16卷 / 1期

关键词：

c-normal subgroup; Generalized Fitting subgroup; Nilpotent; Supersolvable;

D O I：

10.1007/s101149900021

中图分类号：

学科分类号：

摘要：

Let G be a finite group. The question how the properties of its minimal subgroups influence the structure of G is of considerable interest for some scholars. In this paper we try to use c-normal condition on minimal subgroups to characterize the structure of G. Some previously known results are generalized.

引用

页码：63 / 70

页数：7

共 8 条

[1]

Huppert B., Endliche Gruppen I, (1968)

[2]

Buckley J., Finite groups whose minimal subgroups are normal, Math Z, 116, pp. 15-17, (1970)

[3]

Shaalan A., The influence of π-quasinormality of some subgroups, Acta Math Hungar, 56, pp. 287-293, (1990)

[4]

Li S., On minimal subgroups of finite groups, Communications in Algebra, 22, pp. 1913-1918, (1994)

[5]

Wang Y., c-normality of groups and its properties, J of Algebra, 180, pp. 954-965, (1996)

[6]

Huppert B., Blackburn N., Finite Groups III, (1982)

[7]

Doerk K., Hawkes T.O., Finite Soluble Groups, (1992)

[8]

Isaacs I.M., Automorphisms fixing elements of prime order in finite groups, Arch Math, 68, 5, pp. 359-366, (1997)

← 1 →