On Quasisupersoluble and p-Quasisupersoluble Finite Groups

被引：3

作者：

Guo, Wenbin ^{[1
]}

Skiba, Alexander N. ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

[2] Francisk Skorina Gomel State Univ, Dept Math, Gomel 246019, BELARUS

来源：

ALGEBRA COLLOQUIUM | 2010年 / 17卷 / 04期

关键词：

finite group; SC-group; quasisupersoluble group; p-quasisupersoluble group; Baer-local formation; composition formation; PRODUCTS;

D O I：

10.1142/S1005386710000520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and p a prime. We say that G is quasisupersoluble (resp., p-quasisupersoluble) if for every non-cyclic chief factor H/K of G (resp., for every non-cyclic chief factor H/K of G of order divisible by p), every automorphism of H/K induced by an element of G is inner. In this paper, we study the structure of quasisupersoluble and p-quasisupersoluble finite groups.

引用

页码：549 / 556

页数：8

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