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Are these two fields equal

  1. Apr 13, 2005 #1
    Does anyone know how to show that these fields are equal:
    where [tex]p_1,...,p_k[/tex] are distinct primes in Z.

    One inclusion is clear to me, but i'm having problems showing they're equal. Thanks!
  2. jcsd
  3. Apr 13, 2005 #2


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    Induction on k, maybe?
  4. Apr 13, 2005 #3
    Right....note to self, always remember about induction. Thank you.
    (although my solution using induction looks super messy)
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