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Math Help - Gruop Axioms

  1. #1
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    Gruop Axioms

    I have a problem.

    I know there is an identity to this group but not sure how to prove it.

    (Q*,o), where x o y = xy/7

    Can anyone help?

    Thanks
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  2. #2
    Super Member TheChaz's Avatar
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    We require e * a = a.
    In other words,
    e * a = ea/7 = a
    Since we're now in "regular" rational multiplication, cancel the a's.
    e/7 = 1
    e = 7.

    Check.
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  3. #3
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    Thanks for your help.
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