A Solvability Criterion for Finite Groups

被引：0

作者：

Guo Hua QIAN ^{[1
]}

Tian Ze LI ^{[1
]}

机构：

[1] Department of Mathematics,Changshu Institute of Technology

来源：

Acta Mathematica Sinica,English Series | 2016年 / 08期

关键词：

Finite group; solvable group; Sylow normalizer; supplement;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

We show that if for every prime p,the normalizer of a Sylow p-subgroup of a finite group G admits a p-solvable supplement,then G is solvable.This generalizes a solvability criterion of Hall which asserts that a finite group G is solvable if and only if G has a Hall p’-subgroup for every prime p.

引用

页码：982 / 992

页数：11

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