A solvability criterion for finite groups

被引：0

作者：

Guo Hua Qian

Tian Ze Li

机构：

[1] Changshu Institute of Technology,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2016年 / 32卷

关键词：

Finite group; solvable group; Sylow normalizer; supplement; 20D20; 20D40; 20D10;

D O I：

暂无

中图分类号：

学科分类号：

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：10

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