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Math Help - Isomorphic Proof

  1. #1
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    Isomorphic Proof

    Is D5 C3 isomorphic D3 C5 ? Prove your answer.

    I get the basics of the problem, I am just having a hard time proving why my answer is true. Help please
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    What are C3, C5?
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  3. #3
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    The cyclic group of order 3 and the cyclic group of order 5.
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    Quote Originally Posted by abstractman View Post
    Is D5 C3 isomorphic D3 C5 ? Prove your answer.

    I get the basics of the problem, I am just having a hard time proving why my answer is true. Help please
    To show they're NOT isomorphic calculate the center of the groups, remembering that the center of a direct product is the direct product of the centers.

    Tonio
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