The non-normal quartic CM-fields and the octic dihedral CM-fields with relative class number two

zbMath0976.11051MaRDI QIDQ1970603

Hee-Sun Yang, Soun-Hi Kwon

Publication date: 7 June 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

non-normal quartic CM-fieldsoctic dihedral CM-fieldsrelative class number two

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29)

Related Items

The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ The class number one problem for the normal CM-fields of degree 32 ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ Unnamed Item ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors. II

Uses Software

• KANT/KASH

Cites Work

• Unnamed Item
• Continued fractions and real quadratic fields
• On the class number one problem for non-normal quartic CM-fields
• KANT V4
• CM-fields with cyclic ideal class groups of 2-power orders
• Computation of class numbers of number fields
• Über Den Bizyklischen Biquadratischen Zahlkörper
• Groupes des classes d'idéaux triviaux
• Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
• Computation of relative class numbers of CM-fields
• The class number one problem for the non-abelian normal CM-fields of degree 16
• Hasse Unit Indices of Dihedral Octic CM-Fields
• Ideal class groups of cyclotomic number fields I

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