Classes réalisables d'extensions non abéliennes

DOI10.1515/CRELLE.2006.093zbMath1137.11069OpenAlexW2324357577MaRDI QIDQ3437814

Nigel P. Byott, Bouchaïb Sodaïgui, Cornelius Greither

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2006.093

Mathematics Subject Classification ID

Galois theory (11R32) Class numbers, class groups, discriminants (11R29)

Related Items (14)

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 \(p^3\) ⋮ 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 ⋮ 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 ⋮ On the relative Galois module structure of rings of integers in tame 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 ⋮ Sur la structure galoisienne relative de puissances de la différente et idéaux de stickelberger ⋮ Vector bundles and finite covers

Cites Work

• Relative Galois structure of rings of integers.
• On Fröhlich's conjecture for rings of integers of tame extensions
• Realizable classes by non-abelian metacyclic extensions and Stickelberger elements
• Galois module structure for dihedral extensions of degree 8: realizable classes over the group ring
• 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
• Realizable classes of quaternion extensions of degree \(4\ell\)
• Steinitz Classes of Metacyclic Extensions
• Module structure of rings of integers in octahedral extensions
• Realizable Galois module classes for tetrahedral extensions
• The discriminants of relative extensions and the existence of integral bases

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