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Homework Help: Field of order p^2

  1. Apr 29, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that a field of order p2 exists for every prime p.


    3. The attempt at a solution

    In an earlier problem I found that there were p2 monic quadratics in Zp[x], but I don't know if that's useful. Any ideas or theorems would be super helpful, thanks!
     
  2. jcsd
  3. Apr 30, 2010 #2
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