吉林大学学报（理学版）2025，Vol.63Issue(2)：360-366,7.DOI:10.13413/j.cnki.jdxblxb.2024256
分配子及其应用
Distributors and Their Applications
摘要
Abstract
Firstly,by introducing the notion of distributors of groups,we give some properties of distributors of groups.Secondly,we generalize the corresponding results of commutators and p-commutators in group theory,and prove that the mapping f from group G to group H is a group homomorphism if and only if the f-distributor of group Gis 1.Finally,as an application,we calculate the number of homomorphisms from a class of metacyclic groups to dihedral groups.关键词
分配子/p-换位子/p-导群/群同态Key words
distributor/p-commutator/p-derived group/group homomorphism分类
数学引用本文复制引用
杨雨泽,海进科..分配子及其应用[J].吉林大学学报（理学版）,2025,63(2):360-366,7.基金项目
国家自然科学基金(批准号:12471021). （批准号:12471021）
