【摘要】 设F,K为体,ChF和ChK分别表示F和K的特征,n为正整数,SLn(F)和SLn(K)分别表示F和K上的n级特殊线性群,PSLn(F)和PSLn(K)分别表示F和K上的n级射影特殊线性群。郝立柱确定了ChF=2时SLn(F)到SLn(K)(n≥3)的同态形式,得到了此时的同态是平凡的结论。在以上基础上继续研究,使用矩阵计算等方法和技巧,确定了当F,K为域且ChK=2时PSLn(F)到PSLn(K)(n≥3)的同态形式,得到了特征为2的域上同级射影特殊线性群的同态是平凡的结论。更多还原

【Abstract】 Let F,K be division rings,ChFand ChK denote the characteristics of F and K,respectively,SLn(F) and SLn(K) denote the special linear groups of degree n over F and K,respectively,PSLn(F) and PSLn(K) denote the projective special linear groups of degree n over F and K respectively.Lizhu Hao determined the general form of homomorphisms from SLn(F) to SLn(K) when ChF=2 and n≥3.On the basis of the above study,using the method and technique of matrix calculation,the form of homomorphisms from PSLn(F) to PSLn(K) was determined to be trivial,where F and K are fields,ChK=2 and n≥3.更多还原