On a relative normal integral basis problem over abelian number fields

DOI10.3792/pjaa.69.413zbMath0806.11050OpenAlexW2038216206MaRDI QIDQ1327779

Humio Ichimura

Publication date: 8 August 1994

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.69.413

zbMATH Keywords

Galois module structure\(p\)-adic \(L\)-functionsimaginary abelian fieldrelative normal integral basis

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items

Biographical Sketch of Professor Humio Ichimura, On some congruences for units of local \(p\)-cyclotomic fields, On power integral bases of unramified cyclic extensions of prime degree, On a power integral bases problem over cyclotomic \(\mathbb{Z}_p\)-extensions

Cites Work

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• The Group of Unramified Kummer Extensions of Prime Degree
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