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Math Help - degree of E over F

  1. #1
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    degree of E over F

    prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.
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  2. #2
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    Quote Originally Posted by apple2009 View Post
    prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.
    [F(a):F] should divide [E:F]. Then it easily follows that E=F(a).
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