On complemented subgroups of finite groups
On complemented subgroups of finite groups
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DOI：
10.1007/s000130050317
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发表时间：
1999-03
影响因子：
0.6
通讯作者：
A. Ballester-Bolinches;Xiuyun Guo
中科院分区：
文献类型：
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作者：
A. Ballester-Bolinches;Xiuyun Guo
本文证明了具有初等交换Sylow子群的有限超可解群的类就是极小子群可补的有限群的类。本文还分析了有限群在任意Sylow子群的所有极大子群（分别为2-极大）都是可补的假设下的结构。
In this paper, it is proved that the class of all finite supersoluble groups with elementary abelian Sylow subgroups is just the class of all finite groups for which every minimal subgroup is complemented. The structure of a finite group under the assumption that all maximal subgroups (respectively 2-maximal) of any Sylow subgroup are complemented is also analyzed.