On realizable Galois module classes and Steinitz classes of nonabelian extensions

DOI10.1016/j.jnt.2007.02.009zbMath1189.11051OpenAlexW2029693182MaRDI QIDQ958669

Clement Bruche, Bouchaïb Sodaïgui

Publication date: 5 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.02.009

zbMATH Keywords

semidirect productsGalois module structurecyclic codesrealizable classesSteinitz classes

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class numbers, class groups, discriminants (11R29) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items (9)

Relative Galois module structure of octahedral extensions ⋮ Realizable classes of nonabelian extensions of order \(p^3\) ⋮ Steinitz classes of Galois extensions with Galois group having nontrivial center ⋮ On Steinitz classes of nonabelian Galois extensions and \(p\)-ary cyclic Hamming codes ⋮ Realizable Galois module classes over the group ring for non abelian extensions ⋮ Steinitz classes of tamely ramified Galois extensions of algebraic number fields ⋮ Realizable classes of metacylic extensions of degree \(lm\) ⋮ Steinitz classes of some abelian and nonabelian extensions of even degree ⋮ CLASSES DE STEINITZ D'EXTENSIONS NON ABÉLIENNES À GROUPE DE GALOIS D'ORDRE 16 OU EXTRASPÉCIAL D'ORDRE 32 ET PROBLÈME DE PLONGEMENT

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