Relative Galois module structure of integers of abelian fields

DOI10.5802/jtnb.160zbMath0859.11059OpenAlexW1980025704MaRDI QIDQ1919155

Nigel P. Byott, Günter Lettl

Publication date: 9 April 1997

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1996__8_1_125_0

zbMATH Keywords

orderabelian extension of a cyclotomic fieldrelative Galois module structure

Mathematics Subject Classification ID

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

Related Items (5)

Commutative Hopf-Galois module structure of tame extensions ⋮ Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications ⋮ Non-existence and splitting theorems for normal integral bases ⋮ Computing generators of free modules over orders in group algebras. ⋮ Induced Hopf Galois structures and their local Hopf Galois modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• The ring of integers of an abelian number field.
• Normal integral bases and complex conjugation.
• Relative Galois module structure of rings of integers of cyclomatic fields.
• Note on the Galois module structure of quadratic extensions
• A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions

This page was built for publication: Relative Galois module structure of integers of abelian fields