Finite groups whose maximal subgroups of sylow p-subgroups admit a p-solvable supplement
Finite groups whose maximal subgroups of sylow p-subgroups admit a p-solvable supplement
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DOI：
10.1007/s11425-012-4485-9
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发表时间：
2013-05
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影响因子：
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通讯作者：
Guohua Qian
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文献类型：
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作者：
Guohua Qian
本文证明了如果有限群的Sylow p-子群的每个极大子群都有p-可解补群，则该群必是p-可解群。这给出了一个肯定的答案问题17.111 Kourovka笔记本（未解决的问题群理论），这是由斯基巴。
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.