On the Ideal Class Groups of Imaginary Abelian Fields with Small Conductor

DOI10.2307/2154835zbMath0832.11041OpenAlexW4255604152MaRDI QIDQ4846040

Hiroko Ogura, Kuniaki Horie

Publication date: 12 March 1996

Full work available at URL: https://doi.org/10.2307/2154835

zbMATH Keywords

ideal class groupcircular unitsimaginary abelian fieldrelative class groupstructure as abelian groups

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Related Items (1)

Hilbert-Speiser number fields and the complex conjugation

Cites Work

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• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Group-theoretic constraints on the structure of the class group
• On the Stickelberger ideal and the circular units of an abelian field
• On the ideal class groups of some cyclotomic fields
• Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper
• The Ideal Class Groups of Two Cyclotomic Fields
• On the Exponents of Ideal Class Groups of Cyclotomic Fields
• Class Number Computations of Real Abelian Number Fields
• A Note on Ideal Class Groups

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