On Hilbert-Speiser fields

DOI10.5802/jtnb.519zbMath1161.11398OpenAlexW2046886709MaRDI QIDQ819878

Thomas Herreng

Publication date: 30 March 2006

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_2005__17_3_767_0

zbMATH Keywords

normal integral basistame abelian extension

Mathematics Subject Classification ID

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

Related Items

Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\) ⋮ On the restricted Hilbert-Speiser and Leopoldt properties ⋮ Tame Galois module structure revisited ⋮ Hilbert-Speiser number fields and the complex conjugation ⋮ On the self-duality of rings of integers in tame and abelian extensions

Cites Work

• Swan modules and Hilbert-Speiser number fields
• On Integral Bases
• Nontrivial Galois module structure of cyclotomic fields
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