Steinitz classes of Galois extensions with Galois group having nontrivial center

DOI10.1016/j.jnt.2012.08.015zbMath1311.11106OpenAlexW2028421994MaRDI QIDQ1930118

Bouchaïb Sodaïgui

Publication date: 10 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.08.015

zbMATH Keywords

central extensionsGalois module structuresolvable groupsring of integersrealizable Steinitz classes

Mathematics Subject Classification ID

Galois theory (11R32) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

On Steinitz classes of nonabelian Galois extensions and \(p\)-ary cyclic Hamming codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steinitz classes of Galois extensions with Galois group a 2-group
• Steinitz classes of some abelian and nonabelian extensions of even degree
• On realizable Galois module classes and Steinitz classes of nonabelian extensions
• Steinitz classes of tamely ramified Galois extensions of algebraic number fields
• The centre of a metacyclic group
• Steinitz classes of extensions with Galois group \(A_4\)
• Steinitz classes of tamely ramified nonabelian extensions of odd prime power order
• 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
• Galois module structure of abelian extensions.
• Sur les extensions de groupe de Galois Ã₄
• Module structure of rings of integers in octahedral extensions
• Sur les extensions de ℚ à groupe de Galois S₄ et S̃₄
• Counting nilpotent Galois extensions
• Classes de Steinitz d'extensions quaternioniennes généralisées de degré 4p ^r
• The discriminants of relative extensions and the existence of integral bases
• Steinitz classes of cyclic extensions of prime degree.