| u-可补子群与有限群的p幂零性 |
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| 引用本文： | 李长稳,胡滨.u-可补子群与有限群的p幂零性[J].华东师范大学学报(自然科学版),2011,2011(5):88-92. |
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| 作者姓名： | 李长稳 胡滨 |
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| 作者单位： | 徐州师范大学数学科学学院,徐州,221116 |
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| 基金项目： | 国家自然科学基金(11071229); 江苏省高校自然科学资金(10KJD110004) |
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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 |
| 收稿时间： | 2010-10-1 |
| 修稿时间： | 2011-1-1 |
U-supplemented subgroups and p-nilpotency of finite groups |
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| LI Chang-wen,HU Bin.U-supplemented subgroups and p-nilpotency of finite groups[J].Journal of East China Normal University(Natural Science),2011,2011(5):88-92. |
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| Authors: | LI Chang-wen HU Bin |
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| Institution: | School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, China |
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| 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 newcharacterizations 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. |
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| Keywords: | U-supplemented p-nilpotent Sylow p-subgroup |
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