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Galois module structure of rings of integers

Galois module structure of rings of integers

Let E/F be a Galois extension of number fields with Γ= Gal(E/F) and with property that the divisors of (E:F) are non-ramified in E/Q. We denote the ring of integers of E by 𝒪 E and we study 𝒪 E as a ZΓ-module. In particular we show that the fourth …