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Product of polynomials

  1. Feb 25, 2009 #1
    1. The problem statement, all variables and given/known data
    Show that

    (x^p^n) - x = product (product c(x))

    where the product is taken over irreducible polynomials c(x) in F[x] (order of F[x]=p).

    (the inside product is taken over polynomials of degree d
    and the outside product is taken for all d such that d divides n)

    3. The attempt at a solution
    First off I don't really understand the notation. Is this just one sum over 2 notations? Or is it 2 notations and 2 sums?

    After that, I don't even know how to approach the question.
  2. jcsd
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