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

DOI10.3792/pjaa.77.71zbMath0989.11063OpenAlexW4251409529MaRDI QIDQ5951534

Humio Ichimura

Publication date: 7 January 2002

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.77.71

zbMATH Keywords

Iwasawa theorynormal integral basisKummer extension

Mathematics Subject Classification ID

Iwasawa theory (11R23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items

Biographical Sketch of Professor Humio Ichimura ⋮ On the ring of integers of a tame Kummer extension over a number field. ⋮ Note on the ring of integers of a Kummer extension of prime degree. II ⋮ Note on the ring of integers of a Kummer extension of prime degree. IV

Cites Work

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• Normal integral bases in Kummer extensions of prime degree
• On a normal integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions
• On the Iwasawa Invariants of Totally Real Number Fields
• Note on the ring of integers of a Kummer extension of prime degree. II