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Math Help - some questions about sylow thm and group action.

  1. #1
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    Exclamation some questions about sylow thm and group action.

    1. Let p be prime, and G be a finite group. If every element of G has order a power of p, then |G| = p^n for some n≥0. (Hint: Use Cauchy’s theorem.)


    2. Tell as much as possible about the subgroups of a group of order 30 and of a group of order 40.


    ( please help me... its emergency for me )
    Last edited by bogazichili; December 10th 2008 at 08:52 AM.
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  2. #2
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    Exclamation another emergent question

    Let G be a finite p-group and H<G. Prove that H<NG(H).
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