The Maximal Subgroups of n×n Nonnegative Integral Matrices  

n×n非负整数矩阵的极大子群

作　　者：YANG Lin REN Miao-miao 杨琳;任苗苗(Lanzhou University of Technology,School of Science,Lanzhou 730050,China;Northwest University,School of Mathematics,Xi'an 710127,China)

机构地区：[1]Lanzhou University of Technology,School of Science,Lanzhou 730050,China [2]Northwest University,School of Mathematics,Xi'an 710127,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第2期186-193,共8页数学季刊（英文版）

基　　金：National Natural Science Foundation of China(11861045,11701449)。

摘　　要：In this paper we study the subgroup structure of the semigroup Mn(Z+)of all n×n nonnegative integral matrices under multiplication.We prove that every maximal subgroup of Mn(Z+)containing an idempotent element of rank r is isormorphic to Sr.

关 键 词：Green's relations Basis SUBMATRIX MAXIMAL SUBGROUP 

分 类 号：O213.2[理学—概率论与数理统计]