Note on the ring of integers of a Kummer extension of prime degree. II

DOI10.3792/pjaa.77.25zbMath0989.11062OpenAlexW2033704538MaRDI QIDQ5938550

Humio Ichimura

Publication date: 22 July 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.77.25

zbMATH Keywords

Iwasawa theorynormal integral basisKummer extensions

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Biographical Sketch of Professor Humio Ichimura, Note on the ring of integers of a Kummer extension of prime degree. III

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• On normal integral bases
• Remark on On normal integral bases
• Normal integral bases in Kummer extensions of prime degree
• On some modules in the theory of cyclotomic fields
• Class Number Computations of Real Abelian Number Fields
• Note on the ring of integers of a Kummer extension of prime degree. III