On the ring of integers of a tame Kummer extension over a number field.

DOI10.1016/S0022-4049(03)00148-8zbMath1042.11074MaRDI QIDQ1420635

Humio Ichimura

Publication date: 2 February 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

normal integral basisKummer extensions

Mathematics Subject Classification ID

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

Related Items

On the ring of \(p\)-integers of a cyclic \(p\)-extension over a number field ⋮ Biographical Sketch of Professor Humio Ichimura ⋮ Normal integral bases for cyclic Kummer extensions ⋮ Computing generators of free modules over orders in group algebras. ⋮ On a theorem of Kawamoto on normal bases of rings of integers ⋮ Hilbert-Speiser number fields and Stickelberger ideals ⋮ Hopf-Galois module structure of tamely ramified radical extensions of prime degree

Cites Work

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• Swan modules and Hilbert-Speiser number fields
• Normal integral bases and complex conjugation.
• Carlitz Modules and Normal Integral Bases
• The Group of Unramified Kummer Extensions of Prime Degree
• On p-adic L-functions and normal bases of rings of integers.
• Note on the ring of integers of a Kummer extension of prime degree. III

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