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Math Help - Groups

  1. #1
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    Groups

    Let A be a set. Prove that 2^A, delta) is a group.
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  2. #2
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by teramaries View Post
    Let A be a set. Prove that 2^A, delta) is a group.
    Sorry, but a better explanation is needed here...
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  3. #3
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    Quote Originally Posted by Swlabr View Post
    Sorry, but a better explanation is needed here...

    Of course it is. I bet somebody else's children that he meant that the power set of any set is a group under the operation of symmetric difference.
    In fact, not only is that group but it actually is an elementary abelian group of exponent 2.
    But let him realize his sloppy question and re-post it in an acceptable way.

    Tonio
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