典型文献
On the Unitriangular Groups over Rational Numbers Field
文献摘要：
Let U(n,Q)be the group of all n x n(upper)unitriangular matrices over rational numbers field Q.Let S be a subset of U(n,Q).In this paper,we prove that S is a subgroup of U(n,Q)if and only if the(i,j)-th entry Sij satisfies some condition(see Theorem 3.5).Furthermore,we compute the upper central series and the lower central series for S,and obtain the condition that the upper central series and the lower central series of S coincide.
文献关键词：
中图分类号：
作者姓名：
Rui GAO;Jun LIAO;He Guo LIU;Xing Zhong XU
作者机构：
School of Mathematics and Statistics,Hubei University,Wuhan 430062,P.R.China
文献出处：
引用格式：
[1]Rui GAO;Jun LIAO;He Guo LIU;Xing Zhong XU-.On the Unitriangular Groups over Rational Numbers Field)[J].数学学报（英文版）,2022(04):718-734
A类：
Unitriangular,unitriangular,Sij
B类：
On,Groups,over,Rational,Numbers,Field,Let,all,upper,matrices,rational,numbers,field,subset,In,this,paper,prove,that,subgroup,if,only,entry,satisfies,some,condition,see,Theorem,Furthermore,compute,central,series,lower,obtain,coincide
AB值：
0.53788
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