Relative Galois structure of rings of integers.

DOI10.1016/0022-314X(88)90065-0zbMath0641.12005MaRDI QIDQ1100509

Bouchaïb Sodaïgui

Publication date: 1988

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

zbMATH Keywords

realizable classes of class grouprealizations as Galois grouprelative extensions of number fields

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Algebraic numbers; rings of algebraic integers (11R04) Galois theory and commutative ring extensions (13B05)

Related Items (13)

On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2 ⋮ Realizable classes by non-abelian metacyclic extensions and Stickelberger elements ⋮ Realizable classes of nonabelian extensions of order \(p^3\) ⋮ Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8 ⋮ Realizable classes of quaternion extensions of degree \(4\ell\) ⋮ On realizable Galois module classes by the inverse different ⋮ Structure galoisienne relative de la racine carrée de la codifférente d’extensions métacycliques non abéliennes ⋮ On realizable Galois module classes and Steinitz classes of nonabelian extensions ⋮ Realizable classes of metacylic extensions of degree \(lm\) ⋮ ``Galois module structure of quaternion extensions of degree 8 ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger ⋮ Classes réalisables d'extensions non abéliennes ⋮ Realizable classes of tetrahedral extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Induced representations and projective modules
• Relative normal bases in some cyclotomic extensions
• Structures galoisienne des anneaux d'entiers d'extensions sauvagement ramifiees. I
• On Fröhlich's conjecture for rings of integers of tame extensions
• S-groupes des classes d'un ordre arithmétique
• Galois module structure of elementary abelian extensions
• Arithmetic and Galois module structure for tame extensions.
• Critère de décomposition d'une extension de Kummer sur un sous-corps du corps de base

This page was built for publication: Relative Galois structure of rings of integers.