A note on unramified quadratic extensions over algebraic number fields

DOI10.3792/pjaa.76.78zbMath0958.11068OpenAlexW1984292842MaRDI QIDQ1587881

Humio Ichimura

Publication date: 10 April 2001

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.76.78

zbMATH Keywords

unitsnormal integral basisunramified extensionsintegral basis

Mathematics Subject Classification ID

Quadratic extensions (11R11) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Biographical Sketch of Professor Humio Ichimura ⋮ On a quotient of the unramified Iwasawa module over an abelian number field ⋮ Normal integral bases of \(\infty\)-ramified abelian extensions of totally real number fields.

Cites Work

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• On 2-rank of the ideal class groups of totally real number fields
• On power integral bases of unramified cyclic extensions of prime degree
• On ideal groups of algebraic number fields.
• On 2-rank of the ideal class groups of algebraic number fields.
• The Group of Unramified Kummer Extensions of Prime Degree
• A note on integral bases of unramified cyclic extensions of prime degree