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Math Help - The Set of Irrational Numbers and Groups

  1. #1
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    The Set of Irrational Numbers and Groups

    Can the set of all irrational numbers with operation addition be considered a group?
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  2. #2
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    Quote Originally Posted by MissMousey View Post
    Can the set of all irrational numbers with operation addition be considered a group?


    And what would the unit element be?....

    Tonio
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  3. #3
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    Quote Originally Posted by tonio View Post
    And what would the unit element be?....

    Tonio
    I don't know. I mean, 0 isn't an irrational number so it doesn't belong to the set of irrational numbers.

    ...maybe I can just say that since this set doesn't contain an identity element, it is not a group....right?
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