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Currently displaying 1 – 3 of 3

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Bases normales d'entiers dans les extensions de Kummer de degré premier

E. J. Gómez Ayala — 1994

Journal de théorie des nombres de Bordeaux

Si $F$ est un corps de nombres, on note $𝔒_{F}$ son anneau d’entiers ; si $E / F$ est une extension galoisienne finie de corps de nombres de groupe de Galois $G$ , on appelle base normale de $𝔒_{E}$ sur $𝔒_{F}$ toute base de $𝔒_{E}$ en tant que $𝔒_{F}$ -module de la forme ${\{a^{g}\}}_{g \in G}$ avec $a \in 𝔒_{E}$ . On démontre dans ce travail un critère d’existence de base normale d’entiers pour les extensions de Kummer de degré premier, qui permet une construction explicite en cas d’existence ; les principaux outils pour la démonstration sont une formule de Fröhlich pour...

Structure galoisienne et corps de classes de rayon de conducteur 2

E. J. Gómez Ayala — 1995

Acta Arithmetica

A geometric proof of Kummer's reciprocity law for seventh powers

R. Clement Fernández; J. M. Echarri Hernández; E. J. Gómez Ayala — 2011

Acta Arithmetica

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