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Math Help - Group theory

  1. #1
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    Group theory

    Find all elements in <Z/90Z,+> that generate the whole group.

    My solution:

    a in {0,1,...,89} generates the given group iff gcd (a,90)=1 iff a exists in {1,7,11,13,17,19,23,29,31,37,41,43,47,49,53,59,61, 67,71,73,77,79,83,89}

    Can someone please review my solution and confirm it? Thanks in advance!
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  2. #2
    Super Member TheChaz's Avatar
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    Looks good to me!
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  3. #3
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    Thank you very much man!
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