| 一类特殊的有限群 |
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| 引用本文： | 钟锐,文建伟,齐丽丽.一类特殊的有限群[J].西南民族学院学报(自然科学版),2007,33(2):271-274. |
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| 作者姓名： | 钟锐 文建伟 齐丽丽 |
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| 作者单位： | 成都理工大学数学系 四川成都610059 |
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| 摘 要： | 研究了有限群部分元素乘积的问题,讨论了在有限群中存在的一类特殊群—超P-群,证明了所有的有限循环群是超P-群,并给出了一个21阶的有限非Abelian群是超P-群.
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| 关 键 词： | 序列 R-序列 导群 P-群 超P-群 |
| 文章编号： | 1003-2843（2007）02-0271-04 |
| 修稿时间： | 2006-11-21 |
On the existence of a kind of special finite groups |
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| ZHONG Rui,WEN Jian-wei,QI Li-li.On the existence of a kind of special finite groups[J].Journal of Southwest Nationalities College(Natural Science Edition),2007,33(2):271-274. |
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| Authors: | ZHONG Rui WEN Jian-wei QI Li-li |
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| Institution: | Department of Mathematics, Chengdu University of Technology, Chengdu 610059; P. R. C. |
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| Abstract: | The problem of the product of partial elements in a finite group is researched in this paper. The existence of super P-groups is discussed, and all finite cyclic groups are proved to be super P-groups. Meanwhile, a non-abelian group of order 21 which is a super P-group is given. |
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| Keywords: | sequence R- sequence derived group P-group super P-group |
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