有限循环群上奇素数次方根态射的个数
Number of the Odd Prime-th Root Morphisms of a Finite Cyclic Group
韩乙飞1
作者信息
- 1. 福建师范大学 数学与统计学院, 福建 福州 350007
- 折叠
摘要
设G为m阶有限循环群,m>1,Φ:G→G为群同态.若Φk=1G,1G为恒等态射,k为正整数,称Φ为G的k次方根态射,求出当k为奇素数时G的k次方根态射的个数.
Abstract
Let G be a finite cyclic group of order m,m>1,Φ:G→G be a group homomorphism.If Φk=1G,,where 1G is the identity morphism,and k is a positive integer,then Φ is called the k-th root morphisms of G.In this paper,we determine the number of k-th root morphisms of G if k is an odd prime number.
关键词
有限循环群/k次方根态射/个数Key words
finite cyclic group/k-th root morphism/number引用本文复制引用
出版年
2024
NETL
NSTL
万方数据