关于本原矩阵的连续指数集

ON THE CONTINUOUS EXPONENT SET OF PRIMITIVE MATRICES

关于本原矩阵的连续指数集柳柏濂（华南师范大学数学系，广州５１０６３１）ＯＮＴＨＥＣＯＮＴＩＮＵＯＵＳＥＸＰＯＮＥＮＴＳＥＴＯＦＰＲＩＭＩＴＩＶＥＭＡＴＲＩＣＥＳ￥ＬＩＵＢＯＬＩＡＮ（ＳｏｕｔｈＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｇｕａｎｇｚｈ...

In this paper, we provide a class of primitive matrices with zero trace which has a continuous exponent set containing the subset {2, 3, . . . , Zn - 2}, and give a series of n × n primitive matrices Ti1, Ti2, . . . , Ttk whose exponent set satisfies {1, 2, 3, . . . , 2n - 2} E(Ti1)E(Ti2) . . . E(Tik).