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Relative Galois module structure of integers of abelian fields

Relative Galois module structure of integers of abelian fields

Let L/K be an extension of algebraic number fields, where L is abelian over ℚ. In this paper we give an explicit description of the associated order 𝒜 L/K of this extension when K is a cyclotomic field, and prove that o L , the ring of integers of L, …