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Math Help - Sylow subgroup question

  1. #1
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    Sylow subgroup question

    If a group of order 5^2*7*11 has more than one 5-Sylow subgroup, exactly how many does it have? I don't know where to start, any help would be great
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  2. #2
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    Quote Originally Posted by wutang View Post
    If a group of order 5^2*7*11 has more than one 5-Sylow subgroup, exactly how many does it have? I don't know where to start, any help would be great
    By your condition, we have the number of Sylow 5-subgroups is 7, 11, or 77, but must be conguence to 1 module 5, so it is 11.
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