On 2-rank of the ideal class groups of totally real number fields

DOI10.3792/pjaa.58.329zbMath0514.12015OpenAlexW2005194967MaRDI QIDQ1051045

Humio Ichimura

Publication date: 1982

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.58.329

zbMATH Keywords

ideal class groupunramified Abelian extension of type (2,...,2)

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Totally real fields (11R80)

Related Items (5)

Biographical Sketch of Professor Humio Ichimura ⋮ Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves ⋮ On ideal class groups of algebraic number fields ⋮ On the 2-rank of the ideal class groups of pure number fields ⋮ A note on unramified quadratic extensions over algebraic number fields

Cites Work

• Class numbers of cubic cyclic fields
• Real quadratic fields with class numbers divisible by \(n\)
• A note on class number of algebraic number fields
• On unramified Galois extensions of quadratic number fields
• On 2-rank of the ideal class groups of algebraic number fields.
• Unnamed Item
• Unnamed Item

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