Let K/Q be a finite Galois cxtension with abelian Galois group. According to the Kronecker-Weber theorem:...

 

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Let K/Q be a finite Galois cxtension with abelian Galois group. According to the Kronecker-Weber theorem: Im EZ0 such that: KC Q(Cm): I have to prove: 3f € Z0 such that for m: KCQ(Gm) f\m Let K/Q be a finite Galois cxtension with abelian Galois group. According to the Kronecker-Weber theorem: Im EZ0 such that: KC Q(Cm): I have to prove: 3f € Z0 such that for m: KCQ(Gm) f\m

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Proof The relation defined on Fn by Is easily seen to be an equivalenc... View the full answer