Finite groups whose maximal subgroups of sylow p-subgroups admit a p-solvable supplement

被引：0

作者：

GuoHua Qian

机构：

[1] Changshu Institute of Technology,Department of Mathematics

来源：

Science China Mathematics | 2013年 / 56卷

关键词：

finite group; -solvable group; Sylow subgroup; supplement; 20D10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note, we show that if every maximal subgroup of a Sylow p-subgroup of a finite group has a p-solvable supplement then the group is necessarily p-solvable. This gives a positive answer to Problem 17.111 of the Kourovka Notebook (Unsolved Problems in Group Theory), which was posed by Skiba.

引用

页码：1015 / 1018

页数：3

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