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Let K/Q be a finite Galois extension with abelian Galois group.
According to the Kronecker-Weber theorem: ∃m ∈ Z>0 such that: K ⊆ (ζm).
You have to prove: ∃f ∈ Z>0 such that for m:
K ⊆ Q(ζm) <==> f|m
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