| 关于有限群两个幂零子群积的问题 |
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| 引用本文： | 海进科,王品超.关于有限群两个幂零子群积的问题[J].数学研究及应用,2000,20(3):345-348. |
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| 作者姓名： | 海进科 王品超 |
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| 作者单位： | 武汉大学数学与计算机学院;曲阜师范大学数学系 |
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| 基金项目： | Supported by the Nitional Science Foundation of China !(19871073) |
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| 摘 要： | 众所周知，有限群的两个幂零子群的积不一定是幂零的．本文研究了Ｅｎｇｅｌ条件对两个幂零子群的影响，得到两个幂零子群的积为幂零群的几个充分条件。
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| 关 键 词： | 有限群 幂零子群 积 充分条件 |
| 收稿时间： | 1997/10/13 0:00:00 |
On the Product of Two Nilpotent Subgroups of a Finite Group |
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| HAI Jin-ke and WANG Pin-chao.On the Product of Two Nilpotent Subgroups of a Finite Group[J].Journal of Mathematical Research with Applications,2000,20(3):345-348. |
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| Authors: | HAI Jin-ke and WANG Pin-chao |
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| Institution: | School of Mathematics and Computer; Wuhan University; China;Dept. of Math.; Qufu Normal University; Shandong; China |
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| Abstract: | It is known that the product of two nilpotent subgroups of a finite group is not necessarily nilpotent.In this paper, we study the influence of the Engel condition on the product of two nilpotent subgroups. Our results generalize some well-known results. |
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| Keywords: | n-Engel condition nilpotent group p-nilpotent group |
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