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Étude d'un idéal particulier, d'indice fini dans le carré de l'idéal d'augmentation, associé à un caractère de Dirichlet d'un groupe fini

Hassan OukhabaGilles Robert — 1991

Journal de théorie des nombres de Bordeaux

We describe here two sets of generators of an ideal Δ ( ψ ) = M ( ψ ) , of finite index inside the square I 2 of the augmentation ideal I of [ G ] , associated to the Dirichlet character ψ of the finite group G . That peculiar ideal first appeared in questions related to the computation of class number formulas for abelian non ramified extensions of 𝒜 -fields cf. [2] and [3], satisfying certain special conditions which are outlined in the introduction of [1]. A rough idea of these formulas is given in §§2 and 6.

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