The imaginary abelian number fields with class numbers equal to their genus class numbers

DOI10.5802/jtnb.283zbMath0972.11107OpenAlexW2030151608MaRDI QIDQ5939713

Ku-Young Chang, Soun-Hi Kwon

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_2_349_0

zbMATH Keywords

CM fieldsabelian fieldsgenus class number

Mathematics Subject Classification ID

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

Related Items (1)

The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)ⁿ

Uses Software

• KANT/KASH

Cites Work

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• Über Den Bizyklischen Biquadratischen Zahlkörper
• The imaginary quadratic fields of class number 4
• Minoration au point 1 des fonctions L et détermination des corps sextiques abéliens totalement imaginaires principaux
• On Complex Quadratic Fields with Class-Number Two
• The nonquadratic imaginary cyclic fields of 2-power degrees with class numbers equal to their genus class numbers
• The Determination of the Imaginary Abelian Number Fields with Class Number One
• The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
• Class Number Computations of Real Abelian Number Fields
• Exponents of the class groups of complex quadratic fields

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