两类亚循环群之间的同态数量

The Number of Homomorphisms between Classes of Metacyclic Groups

利用群里的基础知识和初等数论的基本方法,确定了一类内交换亚循环2-群M_(2)(2,m)的元素特征,并计算了它与一类2np阶亚循环群G_(n,2p)之间的同态数量,验证了这两类群是满足T.Asai和T.Yoshid猜想的.

By using the basic knowledge of finite groups and the methods of elementary number theory,we studied the element characteristics of a class of interabelian metacyclic 2-groups,calculated the number of homomorphisms between,and metacyclic groups of order,and verified that the number of homomorphisms between the two groups satisfied the conjecture of T.Asai and T.Yoshida.