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Math Help - 2 questions in group theory

  1. #1
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    2 questions in group theory

    1.If m divides the order of a finite
    Albelian group A,then prove that A has a subgroup of order m.
    2.Show that the total number of Albelian groups of order p^n(p prime) is the total number of partitions of n in to positive integers.
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Use the fundamental theorem of finitely generated abelian groups!
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  3. #3
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    can u plz elaborate the thing..
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