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.
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页码：1015 / 1018
页数：3
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