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Currently displaying 1 – 4 of 4

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Relation entre les 2-groupes des classes d'idéaux au sens ordinaire et restreint de certains corps de nombres

Bernard Oriat — 1976

Bulletin de la Société Mathématique de France

Lien algébrique entre les deux facteurs de la formule analytique du nombre de classes dans les corps abéliens

Bernard Oriat — 1986

Acta Arithmetica

Relations entre les 2-groupes de classes d’idéaux des extensions quadratiques $k (\sqrt{d})$ et $k (\sqrt{- d})$

Bernard Oriat — 1977

Annales de l'institut Fourier

Damey et Payan ont montré que la différence des 4-rangs des groupes des classes d’idéaux des corps quadratiques $Q (\sqrt{a})$ et $Q (\sqrt{- a})$ est majorée par ( $a$ étant positif) : $0 \leq {dim}_{4} H_{Q (\sqrt{- a})} - {dim}_{4} H_{Q (\sqrt{a})} \leq 1 .$ Dans ce papier, l’auteur généralise cette propriété en remplaçant le corps de base $Q$ par un corps de nombres $k$ quelconque. La méthode employée est issue du “Spiegelungssatz” de Leopoldt.

Un essai de généralisation du "Spiegelungssatz".

Bernard Oriat; Philippe Satgé — 1979

Journal für die reine und angewandte Mathematik

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