New relative extension examples without normal basis

DOI10.5802/afst.999zbMath1012.11099OpenAlexW2331057340MaRDI QIDQ1612808

Jean Cougnard

Publication date: 25 February 2003

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2001_6_10_3_493_0

zbMATH Keywords

Gauss sumsresolventsnormal integral bases

Mathematics Subject Classification ID

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

Related Items (2)

Relative normal bases of positive characteristic ⋮ Non-existence and splitting theorems for normal integral bases

Cites Work

• Unnamed Item
• Relative normal bases in some cyclotomic extensions
• Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\)
• Galois modules and embedding problems.
• Normal integral bases and complex conjugation.
• Arithmetic and Galois module structure for tame extensions.
• Nombre de $\varphi$-classes invariantes. Application aux classes des corps abéliens
• Introduction to Algebraic K-Theory. (AM-72)

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