| 2阶子群均共轭置换的4p2及4pq阶群 |
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| 引用本文： | 雪君霞.2阶子群均共轭置换的4p2及4pq阶群[J].重庆文理学院学报,2014,33(2):25-27. |
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| 作者姓名： | 雪君霞 |
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| 作者单位： | 西南大学数学与统计学院,重庆北碚400715 |
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| 基金项目： | 国家自然科学基金资助项目（11271301）. |
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| 摘 要： | 子群H为G的共轭置换子群是指日满足对G中任意元素g均成立HgH=HHg，记为H〈c-pG．本文利用共轭置换来刻画2阶子群均共轭置换的有限群，得到具有该特性的4p2及4pg阶群的结构分类．
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| 关 键 词： | 共轭置换子群 子群的共轭类 初等交换群 |
Some groups of order 4p2and 4pq in which all subgroups of order 2 are conjugate-permutable subgroups |
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| XUE Junxia.Some groups of order 4p2and 4pq in which all subgroups of order 2 are conjugate-permutable subgroups[J].Journal of Chongqing University of Arts and Sciences,2014,33(2):25-27. |
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| Authors: | XUE Junxia |
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| Institution: | XUE Junxia ( Department of Mathematics and Statistics, Southwest University, Beibei Chongqing 400715, China) |
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| Abstract: | A subgroup H of a group G is called conjugate - permutable in G , if HHg = HgH , for all g E G. In this paper, the author classifies finite groups of order 4p2 and 4pq in which all subgroups of order 2 conjugate - permutable subgroups. |
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| Keywords: | conjugate - permutable subgroups conjugate class of subgroup elementary abelian group |
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