Normal integral basis and ray class group modulo 4.

DOI10.3792/PJAA.79.139zbMath1059.11067OpenAlexW2048121596MaRDI QIDQ595960

Fuminori Kawamoto, Humio Ichimura

Publication date: 6 August 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.79.139

zbMATH Keywords

normal integral basisray class group

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (4)

Biographical Sketch of Professor Humio Ichimura ⋮ On the ring of integers of a tame Kummer extension over a number field. ⋮ Note on imaginary quadratic fields satisfying the Hilbert-Speiser condition at a prime \(p\) ⋮ Note on the rings of integers of certain tame 2-Galois extensions over a number field

Cites Work

• Unnamed Item
• Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases)
• Normal integral bases and strict ray class groups modulo 4
• Note on the ring of integers of a Kummer extension of prime degree. V.
• Normal integral bases of \(\infty\)-ramified abelian extensions of totally real number fields.
• Unramified Abelian Extensions of CM -Fields and their Galois Module Structure
• The Group of Unramified Kummer Extensions of Prime Degree
• On quadratic subextensions of ray class fields of quadratic fields mod \({\mathfrak p}\)

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