Abelian number fields satisfying the Hilbert-Speiser condition at \(p=2\) or \(3\)

DOI10.3836/TJM/1249648418zbMath1226.11121OpenAlexW2042353137MaRDI QIDQ841450

Yusuke Yoshimura

Publication date: 16 September 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1249648418

zbMATH Keywords

Hilbert-Speiser theorem

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 (3)

Real abelian fields satisfying the Hilbert-Speiser condition for some small primes \(p\) ⋮ Tame Galois module structure revisited ⋮ Hilbert-Speiser number fields and the complex conjugation

Uses Software

• Unnamed Item

Cites Work

• Normal integral bases in quadratic and cyclic cubic extensions of quadratic fields
• Note on the ring of integers of a Kummer extension of prime degree. V.
• Swan modules and Hilbert-Speiser number fields
• The Determination of the Imaginary Abelian Number Fields with Class Number One
• Normal integral bases and ray class groups

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