Relative normal bases in some cyclotomic extensions

DOI10.1016/0022-314X(86)90078-8zbMath0588.12003MaRDI QIDQ1073091

Jean Cougnard

Publication date: 1986

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

zbMATH Keywords

cyclotomic fieldnormal integral bases

Mathematics Subject Classification ID

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

Related Items (4)

New relative extension examples without normal basis ⋮ Relative Galois structure of rings of integers. ⋮ Relative normal bases of positive characteristic ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases)

Cites Work

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• Normal integral bases and embedding problems
• S-groupes des classes d'un ordre arithmétique
• On the self-duality of a ring of integers as a Galois module
• Quelques Extensions Moderement Ramifiees Sans Base Normale
• Arithmetic and Galois module structure for tame extensions.
• Nombre de $\varphi$-classes invariantes. Application aux classes des corps abéliens

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