Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring

DOI10.1016/J.JNT.2005.01.003zbMath1073.11068OpenAlexW2086054319WikidataQ57937564 ScholiaQ57937564MaRDI QIDQ1775567

Nigel P. Byott, Bouchaïb Sodaïgui

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.01.003

Mathematics Subject Classification ID

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

Related Items (11)

Relative Galois module structure of octahedral extensions ⋮ On the restricted Hilbert-Speiser and Leopoldt properties ⋮ Realizable classes of nonabelian extensions of order \(p^3\) ⋮ Realizable Galois module classes over the group ring for non abelian extensions ⋮ Hopf-Galois module structure of tame biquadratic extensions ⋮ On realizable Galois module classes by the inverse different ⋮ On realizable Galois module classes and Steinitz classes of nonabelian extensions ⋮ Realizable classes of metacylic extensions of degree \(lm\) ⋮ Note on the rings of integers of certain tame 2-Galois extensions over a number field ⋮ CLASSES DE STEINITZ D'EXTENSIONS NON ABÉLIENNES À GROUPE DE GALOIS D'ORDRE 16 OU EXTRASPÉCIAL D'ORDRE 32 ET PROBLÈME DE PLONGEMENT ⋮ Classes réalisables d'extensions non abéliennes

Cites Work

• On Fröhlich's conjecture for rings of integers of tame extensions
• ``Galois module structure of quaternion extensions of degree 8
• Steinitz classes of relative Galois extensions of 2-power degree and embedding problems
• Realizable classes by non-abelian metacyclic extensions and Stickelberger elements
• Galois module structure of elementary abelian extensions
• Realizable classes of tetrahedral extensions
• Relative Galois module structure and Steinitz classes of dihedral extensions of degree 8
• Galois module structure of abelian extensions.
• Realizable Galois module classes for tetrahedral extensions
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