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.
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页码：982 / 992
页数：10
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