| 二元生成自由群的幂单性质(英文) |
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| 引用本文： | 杨新松,刘欢. 二元生成自由群的幂单性质(英文)[J]. 哈尔滨理工大学学报, 2014, 19(6): 98-104 |
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| 作者姓名： | 杨新松 刘欢 |
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| 作者单位： | 哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080 |
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| 摘 要： | 为了研究二元生成自由群的幂单性质,依据组合群理论,讨论了本原元素的若干组合方式,证明了可用于处理幂零的几组新方程.证明了可以嵌入一般线性群的二元生成自由群是幂单群的充要条件是它的每个本原元素均是幂单的.
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| 关 键 词： | 幂单性 本原元 自由群 |
The Unipotency of Free Group of Rank Two |
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| YANG Xin-song,LIU Huan. The Unipotency of Free Group of Rank Two[J]. Journal of Harbin University of Science and Technology, 2014, 19(6): 98-104 |
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| Authors: | YANG Xin-song LIU Huan |
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| Affiliation: | (School of Applied Science, Harbin University of Science and Technology, Harbin 150080, China) |
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| Abstract: | To study the unipotency of free group generated by two elements, some combinations of pimitive ele- ments are discussed based on the combinatorial group theory, and some new systems benefit to studing the unipoten- cy will be proved. It will prove that the group must be unipotent if and only if it can be imbedded into general linear group C8×8 and each primitive element is unipotent. |
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| Keywords: | unipotency primitive element free group |
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