U-supplemented subgroups and p-nilpotency of finite groups
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摘要: 研究了U-可补子群对有限群结构的影响. 在一些准素子群(例如, Sylow子群的2-极大子群)U-可补的假设下, 一些p-幂零性的条件被建立, 同时得到了一个群属于给定的有限群的群系的新的刻画. 作为应用, 推广和统一了一些已知的结果.
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关键词:
- U-可补 /
- p-幂零 /
- Sylow p-子群
Abstract: The influence of U-supplemented subgroups on the structure of finite groups was investigated. Some conditions of p-nilpotency under assumption that some primary subgroups (for example, 2-maximal subgroups of Sylow subgroup) are U-supplemented were established. Meanwhile, some new characterizations of a group belonging to a given formation of finite groups were obtained. As an application, a series of previously known results are unified and generalized.-
Key words:
- U-supplemented /
- p-nilpotent /
- Sylow p-subgroup
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