A note on integral bases of unramified cyclic extensions of prime degree. II

DOI10.1007/S002290170039zbMath0991.11058OpenAlexW2087149902MaRDI QIDQ5932140

Hiroki Sumida-Takahashi, Humio Ichimura

Publication date: 26 August 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290170039

zbMATH Keywords

normal integral basisGalois module structureKummer extensionpower integral basis

Mathematics Subject Classification ID

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

Related Items (6)

On the ring of \(p\)-integers of a cyclic \(p\)-extension over a number field ⋮ Indices of Kummer extensions of prime degree ⋮ Biographical Sketch of Professor Humio Ichimura ⋮ Normal integral basis of an unramified quadratic extension over a cyclotomic \(\mathbb{Z}_2\)-extension ⋮ On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\) ⋮ On a normal integral basis problem over cyclotomic \(Z_{p}\)-extensions. II.

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