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Let F be a field of characteristic p. Factor f(x) = x^p + 1 into irreducible in F[x].

Let F be a field of characteristic p. Factor f(x) = x^p + 1 into irreducible in F[x].
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549904_MATH solution_2.doc

There is an extension Fr of F in which f r( x ) has a root. Factor each of the factors f
r( x), . . . , fr( x ) into irreducible factors in Fr and proceed as before. We finally arrive at
a field in...

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