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Finite Field Question

  1. Apr 26, 2009 #1
    I am trying to prove that if c is a root of f(x) in Z_p then c^p is also a root. It seems very simple but I can't think how to approach it. Any insight on this would be greatly appreciated, and sorry for not using the latex but it seems to be acting up.
     
  2. jcsd
  3. Apr 26, 2009 #2

    Hurkyl

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    You're being distracted by the ideal of polynomials; forget about them for a moment. What can you tell me about cp?
     
  4. Apr 26, 2009 #3
    Ahh you're right! I was being distracted; all I need is Fermat's Little Theorem. Thanks a lot.
     
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