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Math Help - Automorphisms of cyclic groups

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    Automorphisms of cyclic groups

    Prove that a cyclic group of order p (p is prime) has p-1 unique automorphisms.
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    MHF Contributor Bruno J.'s Avatar
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    Prove that the group has p-1 generators, that an automorphism is uniquely determined by the image of a generator, and that an automorphism must map a generator to a generator.
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