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Sur la structure galoisienne du groupe des unités d’un corps abélien de type ( p , p )

Lyliane BouvierJean-Jacques Payan — 1979

Annales de l'institut Fourier

Pour décrire la structure galoisienne à Z [ G ] -isomorphisme près du quotient par { ± 1 } du groupe des unités d’une extension abélienne absolue de groupe de Galois G de type ( p , p ) , on amorce la description des Z [ G ] -modules de type fini libres sur Z 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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