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Math Help - submonoid of a group a group

  1. #1
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    submonoid of a group a group

    I need to show a submonoid of a finite group is a group

    thanks in advance
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  2. #2
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    In a finite group, the order of every element is finite. Suppsoe the order of a is d, then a^(d-1) is the inverse of a, which is in the submonoid.
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  3. #3
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    Quote Originally Posted by FancyMouse View Post
    In a finite group, the order of every element is finite. Suppsoe the order of a is d, then a^(d-1) is the inverse of a, which is in the submonoid.
    thanks a lot
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