Number of the Odd Prime-th Root Morphisms of a Finite Cyclic Group
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.
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