Realizable Galois module classes over the group ring for non abelian extensions
Realizable Galois module classes over the group ring for non abelian extensions
Given an algebraic number field k and a finite group Γ, we write ℛ(O k [Γ]) for the subset of the locally free classgroup Cl(O k [Γ]) consisting of the classes of rings of integers O N in tame Galois extensions N/k with Gal(N/k)≅Γ. We determine ℛ(O k [Γ]), and …