Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II

DOI10.5802/aif.480zbMath0262.12007OpenAlexW2069201714MaRDI QIDQ2560854

Georges Gras

Publication date: 1973

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/74147

Mathematics Subject Classification ID

Iwasawa theory (11R23)

Related Items (20)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ l-Class groups of cyclic extensions of prime degree l ⋮ On the rank of the 2-class group of some imaginary biquadratic number fields ⋮ Some Remarks to Ono’s theorem on a generalization of Gauss’ genus theory ⋮ Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields ⋮ \(p\)-adic approach of Greenberg's conjecture for totally real fields ⋮ Class numbers of multinorm-one tori ⋮ Note on class number factors and prime decompositions ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ On nilpotent factors of congruent ideal class groups of Galois extensions ⋮ Class groups of dihedral extensions ⋮ On the locally cyclotomic tower of a number field ⋮ Units and class numbers of a dihedral Galois extension of \(\mathbb{Q}\) ⋮ On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions ⋮ Vanishing cycles, plane curve singularities and framed mapping class groups ⋮ Sylow subgroups of ideal class groups with moduli ⋮ On the 4-rank of the narrow ideal class group of a quadratic field ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups ⋮ Über den 4-Rank der Klassengruppe quadratischer Zahlkörper ⋮ On the $2$-class group of some number fields with large degree

Cites Work

• A note on the group of units of an algebraic number field
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Über die Klassenzahl des Körpers \(P(\sqrt{-2p})\) mit einer Primzahl \(p\ne 2\)
• Über die Klassenzahl des Körpers \(\text{P}\left(\sqrt{-p}\right)\) mit einer Primzahl \(p\equiv1\pmod{2^ 3}\)
• Some results related to Hilbert's theorem 94
• Table des 2-rang, 4-rang et 8-rang du 2-groupe des classes d'idéaux au sens restreint de \(Q(\sqrt m)\) \(m\) étant un entier rélatif sans facteur carré tel que \(1< | m | < 10 000\)
• On the ambiguous classes and monogenic orders of a cyclic extension of odd prime degree over \(\mathbb Q\) or an imaginary quadratic field.
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
• On the class number of imaginary quadratic number fields
• A remark concerning Hilbert's Theorem 94.
• Existence et construction des extensions galoisiennes et non-abéliennes de degré 8 d'un corps de caractéristique differente de 2.
• Über die Teilbarkeit durch 23 der Klassenzahl imaginär-quadratischer Zahlkörper mit genau zwei verschiedenen Diskriminantenprimteilern.
• Gauss's Ternary Form Reduction and the 2-Sylow Subgroup
• Die 2-Klassenzahlen spezieller quadratischer Zahlkörper.
• Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
• Zur Geschlechtertheorie in abelschen Zahlkörpern
• THE GENERALIZATION OF A THEOREM OF L. RÉDEI'S
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