Non-existence and splitting theorems for normal integral bases

DOI10.5802/aif.2709zbMath1257.11100arXiv0801.2272OpenAlexW2962795329MaRDI QIDQ442132

Cornelius Greither, Henri Johnston

Publication date: 9 August 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2272

zbMATH Keywords

(weak) normal integral basisAmitsur cohomologyarithmetically disjointarithmetically splitHilbert-Speiser Theorem

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items (1)

Tame Galois module structure revisited

Cites Work

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• Normal integral bases and embedding problems
• Cyclic Galois extensions of commutative rings
• New relative extension examples without normal basis
• Relative Galois module structure of integers of abelian fields
• Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\)
• Normal integral bases and complex conjugation.
• Galois module structure of abelian extensions.

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