Automorphism and abelian group and gcd

Reference no: EM13124625

Automorphism, Abelian Group and GCD
Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ(g)=g^m for all g an element of G belongs to Aut(G)

Reference no: EM13124625

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