Décomposition du Galois-module des entiers d'une extension cyclique de degré premier d'un corps de nombres ou d'un corps local

DOI10.5802/aif.726zbMath0386.13006OpenAlexW2324119121MaRDI QIDQ1249616

Françoise Bertrandias

Publication date: 1979

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1979__29_1_33_0

zbMATH Keywords

Galois groupcyclic extensionramificationDedekind ring

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Galois theory (11S20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Ramification problems in algebraic geometry (14E22) Galois theory and commutative ring extensions (13B05)

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Algebraic number fields ⋮ Taming Wild Extensions with Hopf Algebras

Cites Work

• Lattices over orders I
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• On the module structure of the ring of all integers of a p-adic number field
• Über die Hauptordnung eines Körpers als Gruppenmodul.
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