On the class numbers of cyclotomic fields

DOI10.1007/BF01172792zbMath0706.11060MaRDI QIDQ5899921

Kuniaki Horie

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/155452

zbMATH Keywords

cyclotomic fieldclass numberrelative class number

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (5)

Hilbert-Speiser number fields for a prime \(p\) inside the \(p\)-cyclotomic field ⋮ On the Exponents of Ideal Class Groups of Cyclotomic Fields ⋮ Hilbert-Speiser number fields and the complex conjugation ⋮ Stickelberger ideals of conductor \(p\) and their application ⋮ Determination of totally imaginary cyclic quartic fields with ideal class group of exponent \(\leq 2\)

Cites Work

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• On Iwasawa \(\lambda^{-}\)-invariants of imaginary abelian fields
• A note on class numbers of algebraic number fields
• Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields
• Class numbers of imaginary abelian number fields. I
• On the Stickelberger Ideal and the Relative Class Number
• CM-fields and exponents of their ideal class groups

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