| 共轭置换子群对有限群结构的影响 |
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| 引用本文： | 孔庆军,康平,王品超.共轭置换子群对有限群结构的影响[J].商丘师范学院学报,2006,22(2):37-38. |
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| 作者姓名： | 孔庆军 康平 王品超 |
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| 作者单位： | 曲阜师范大学,数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 山东省自然科学基金(Y2000A02) |
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| 摘 要： | 群G的子群H称为G的共轭置换子群,若HxH=HHx,对任意x∈G都成立.本文利用共轭置换子群的定义,在文1]的基础上,又给出了共轭置换子群的若干性质及有限群成为可解的几个充分条件,进而推广了文1]中的部分结果.
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| 关 键 词： | 共轭置换子群 有限群 可解群 |
| 文章编号： | 1672-3600（2006）02-0037-02 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005年3月28日 |
The influence of conjugate-permutable subgroups on structure of finite groups |
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| KONG Qing-jun,KANG Ping,WANG Pin-chao.The influence of conjugate-permutable subgroups on structure of finite groups[J].Journal of Shangqiu Teachers College,2006,22(2):37-38. |
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| Authors: | KONG Qing-jun KANG Ping WANG Pin-chao |
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| Institution: | Department of Mathematics and Science, Qufu Normal University, Qufu 273165, China |
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| Abstract: | A subgroup H of a group G is called conjugate-permutable in G,if it is permutable with all conjugate subgroups of H.In this paper,utilizing definition of conjugate-permutable subgroups and article1],we give some properties about conjugate-permutable subgroups and some sufficient conditions of the conjugate-permutable subgroups on the structure of finite groups,Furthermore some results of1] are generalized. |
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| Keywords: | conjugate-permutable subgroups finite group solvable group |
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