The influence of minimal subgroups on the structure of finite groups

被引：13

作者：

Wang, YM ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2000年 / 16卷 / 01期

关键词：

c-normal subgroup; supersolvable; nilpotent; generalized fitting subgroup;

D O I：

10.1007/PL00011544

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：8

共 8 条

[1] FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE NORMAL [J].

BUCKLEY, J .

MATHEMATISCHE ZEITSCHRIFT, 1970, 116 (01) :15-&

[2]

Doerk K., 1992, GRUYTER EXP MATH, V4

[3]

Huppert B., 1982, FINITE GROUPS, VIII

[4]

Huppert B., 1968, ENDLICHE GRUPPEN, VI

[5] Automorphisms fixing elements of prime order in finite groups [J].

Isaacs, IM .

ARCHIV DER MATHEMATIK, 1997, 68 (05) :359-366

[6]

LI SR, 1994, COMMUN ALGEBRA, V22, P1913

[7] THE INFLUENCE OF PI-QUASINORMALITY OF SOME SUBGROUPS ON THE STRUCTURE OF A FINITE-GROUP [J].

SHAALAN, A .

ACTA MATHEMATICA HUNGARICA, 1990, 56 (3-4) :287-293

[8] C-normality of groups and its properties [J].

Wang, YM .

JOURNAL OF ALGEBRA, 1996, 180 (03) :954-965

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