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。
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.
作者
张良
海进科
ZHANG Liang;HAI Jin-ke(College of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang, China;College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2018年第6期17-22,共6页
Journal of Shandong University(Natural Science)
基金
山东省自然科学基金资助项目(ZR2016AM21)
伊犁师范学院博士基金项目(2017YSBS10)
关键词
亚循环群
群同态
同余关系
metacyclic group
homomorphism
congruence relation
