Subextensions of an abelian Galois extension
= Subextensions of an abelian Galois extension
Every subgroup of an abelian group is normal. Hence every intermediate field of a finite abelian Galois extension is itself Galois over the base field.
= Subextensions of an abelian Galois extension
Every subgroup of an abelian group is normal. Hence every intermediate field of a finite abelian Galois extension is itself Galois over the base field.