On imaginary abelian number fields of type \((2, 2, \dots, 2)\) with one class in each genus

DOI10.1007/BF02567840zbMath0851.11061MaRDI QIDQ1911194

Ichiro Miyada

Publication date: 16 April 1996

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

Full work available at URL: https://eudml.org/doc/156145

zbMATH Keywords

imaginary abelian number fields of type \((2,2, \dots, 2)\)

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items

The class groups of the imaginary Abelian number fields with Galois group (ℤ/2ℤ)ⁿ ⋮ A finiteness theorem for imaginary abelian number fields ⋮ Fourier coefficients of Hecke eigenforms ⋮ The imaginary abelian number fields with class numbers equal to their genus class numbers ⋮ Class numbers of imaginary quadratic fields ⋮ Class number problem for imaginary cyclic number fields

Cites Work

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• Remarks on unit indices of imaginary abelian number fields. II
• The genus fields of algebraic number fields
• The Determination of the Imaginary Abelian Number Fields with Class Number One
• Exponents of the class groups of complex quadratic fields
• Zur Geschlechtertheorie in abelschen Zahlkörpern