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Math Help - Order of a group

  1. #1
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    Order of a group

    What is the order of the group U(12)?

    What does U(12) look like excatly?

    Thanks.
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    What is the order of the group U(12)?
    What does it means U(12)? Does it mean the primitive roots of unity of 12?
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  3. #3
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    I really dont know, let me ask the professor tomorrow.
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  4. #4
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    I just talked to my professor and he told me that U(12) is a group under multiplication modulo 12, so all k less than 12 such that k is relative prime to 12. Thus U(12) = {1,7,9,11}, so <U(12)> = 4.

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