Realizable classes of tetrahedral extensions

DOI10.1016/S0022-314X(02)00040-9zbMath1028.11067OpenAlexW1964022035MaRDI QIDQ1869798

Bouchaïb Sodaïgui, Marjory Godin

Publication date: 28 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00040-9

zbMATH Keywords

resolventGalois module structureLagrangemaximal orderSteinitz classFröhlich's Hom-description of class group

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)

Related Items (5)

Relative Galois module structure of octahedral extensions ⋮ Realizable Galois module classes over the group ring for non abelian extensions ⋮ On realizable Galois module classes and Steinitz classes of nonabelian extensions ⋮ Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring ⋮ Classes réalisables d'extensions non abéliennes

Cites Work

• Relative Galois structure of rings of integers.
• Steinitz classes of relative Galois extensions of 2-power degree and embedding problems
• Steinitz classes of extensions with Galois group \(A_4\)
• Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8
• Realizable classes of quaternion extensions of degree \(4\ell\)
• Galois module structure of abelian extensions.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Realizable classes of tetrahedral extensions