ON FINITE QUASI-F-GROUPS

被引：15

作者：

Guo, Wenbin ^{[1
]}

Skiba, Alexander N.

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Finite groups; Quasi-F-subgroup; Quasimetanilpotent group; Quasisoluble group; Quasisupersoluble group; Saturated formations;

D O I：

10.1080/00927870802248852

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and F a saturated formation of finite groups. We say that G is quasi-F-group if for every F-eccentric chief factor H/K of G and every x. G, x induces an inner automorphism on H/K. In particular, we have the concepts of quasisoluble, quasisupersoluble, quasimetanilpotent groups, and so on. In this article, we obtain some results about the quasi-F-groups and use them to give the conditions under which a group is quasisoluble, quasimetanilpotent, or quasisupersoluble.

引用

页码：470 / 481

页数：12

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