关于n阶循环矩阵成Abel群的讨论

A discussion on the constitution of an Abel group by the collection of n step cyclic matrix

主要验证了n阶循环矩阵在给定二元运算分别为普通矩阵乘法、Hadamard积和Fan积的条件下都构成Abel群,经过讨论最后得出这三个Abel群是相互同构的关系。

This article mainly confirms that the n step cyclic matrix can constitute an Abel group under the condition that the binary operation is the ordinary matrix multiplication, the Hadamard product and the Fan product, respectively. After the discussion, the authors find out that these three Abel groups are the mutual isomorphism relation finally.