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Keywords:
Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group
Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group
Summary:
We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.
References:
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