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Pour décrire la structure galoisienne à -isomorphisme près du quotient par du groupe des unités d’une extension abélienne absolue de groupe de Galois de type , on amorce la description des -modules de type fini libres sur dont le caractère est contenu dans la représentation d’augmentation. La classification est complète pour les modules de rang inférieur ou égal à 3 ; elle est appliquée à la description donnée par T. Kubota des unités d’un corps biquadratique non cyclique en fonction des...
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