Hilbert-Speiser number fields for a prime \(p\) inside the \(p\)-cyclotomic field

DOI10.1016/j.jnt.2007.06.007zbMath1167.11042OpenAlexW2035791916MaRDI QIDQ958657

Humio Ichimura

Publication date: 5 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.06.007

zbMATH Keywords

normal integral basiscyclotomic fieldsStickelberger idealminus class number

Mathematics Subject Classification ID

Iwasawa theory (11R23) 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 ⋮ Hilbert-Speiser number fields and Stickelberger ideals

Cites Work

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• A class number formula for the \(p\)-cyclotomic field
• On a cubic field with discriminant \(163^2\)
• Galois module structure of elementary abelian extensions
• Stickelberger ideals of conductor \(p\) and their application
• On a Theorem of Kawamoto on Normal Bases of Rings of Integers, II
• Class Number Computations of Real Abelian Number Fields
• A Note on Ideal Class Groups
• On the class numbers of cyclotomic fields