| 共轭置换子群对群p-幂零性的影响 |
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| 引用本文： | 高建玲.共轭置换子群对群p-幂零性的影响[J].山西大同大学学报（自然科学版）,2008,24(6):12-14. |
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| 作者姓名： | 高建玲 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西大同,037009 |
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| 摘 要： | 群G的一个子群H称为自共轭置换子群，如果对于g∈G，由HHg=HgH可推出H=Hg.本文利用P阶及4阶循环子群的自共轭置换性讨论有限群的结构，给出了此类群的结构描述．
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| 关 键 词： | 自共轭置换予群 p-幂零群 半直积 |
Influences of Self-conjugate Permutable Subgroups on p-nilpotence of Finite Groups |
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| GAO Jian-ling.Influences of Self-conjugate Permutable Subgroups on p-nilpotence of Finite Groups[J].Journal of Shanxi Datong University(Natural Science Edition),2008,24(6):12-14. |
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| Authors: | GAO Jian-ling |
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| Institution: | GAO Jian-ling (School of Mathematics and Computer Science, Shanxi Datong University, Datong Shanxi, 037009) |
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| Abstract: | A subgroup H of a group G is called self-conjugate permutable, if HH = H H implies that H= H for any g G. In this paper, the author studies the structure of finite groups by means of the self-conjugate permutability of cyclic groups of order and 4, some results for the structure are obtained. |
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| Keywords: | self-conjugate permutable subgroups -nilpotent group semidirect product |
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