%0 Journal Article
%T 亚循环群到亚循环群之间的同态个数<br>The number of homomorphisms from metacyclic groups to metacyclic groups
%A 张良
%A 海进科
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.562
%X 摘要： 计算了一类m阶循环群通过2p阶循环群扩张的亚循环群之间的同态个数, 并给出了此类亚循环群自同态半群的阶。作为应用,验证了T. Asai和T. Yohsdia猜想对此类亚循环群成立。<br>Abstract: The number of homomorphisms between a class of metacyclic groups, which are normal cyclic groups of the order m extended by cyclic groups of the order 2p, is calculated, and the number of endomorphisms of such groups is obtained. As an application, the number of homomorphisms of such groups satisfies the conjecture of T.Asai and T.Yohsdia is varified
%K 亚循环群
%K 群同态
%K 同余关系
%K &lt
%K br&gt
%K metacyclic group
%K homomorphism
%K congruence relation
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.562