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Math Help - group theory

  1. #1
    Junior Member
    Joined
    Oct 2008
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    39

    group theory

    Can anyone find a group st

    All elements are of order 3 or 1 and the
    group is in finite.
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  2. #2
    Super Member
    Joined
    Apr 2009
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    México
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    721
    What about G= \oplus_{n\in \mathbb{N} } \mathbb{Z} _{3_n} where \mathbb{Z} _{3_n}=\mathbb{Z} _3?
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