二元生成自由群的幂单性质(英文)  

The Unipotency of Free Group of Rank Two

作　　者：杨新松[1] 刘欢[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2014年第6期98-104,共7页Journal of Harbin University of Science and Technology

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.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.

关 键 词：幂单性 本原元 自由群 

分 类 号：O153[理学—数学]