Realizable Galois module classes over the group ring for non abelian extensions

DOI10.5802/aif.2762zbMath1316.11105OpenAlexW605691493MaRDI QIDQ1955963

Bouchaïb Sodaïgui, Nigel P. Byott

Publication date: 19 June 2013

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

Full work available at URL: http://hdl.handle.net/10871/11745

zbMATH Keywords

embedding problemGalois module structurecyclic codeslocally free class grouprings of algebraic integersStickelberger idealrealizable classesFröhlich-Lagrange resolvent

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (6)

On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2 ⋮ Realizable classes of nonabelian extensions of order \(p^3\) ⋮ On Steinitz classes of nonabelian Galois extensions and \(p\)-ary cyclic Hamming codes ⋮ On realizable Galois module classes by the inverse different ⋮ Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger

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