Could you please help with this problem: Show that there are infinitely many irreducible polynomials in Zp[x], where p is prime. Deduce that there are infinitely many non-isomorphic finite fields of order a power of p.
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Originally Posted by Mimi89 Could you please help with this problem: Show that there are infinitely many irreducible polynomials in Zp[x], where p is prime. Deduce that there are infinitely many non-isomorphic finite fields of order a power of p. Mimick Euclides' proof for primes in : suppose are all the irreducible polynomials in ,and define ... Tonio
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