On the Class Number of Relative Quadratic Fields

DOI10.2307/2006350zbMath0401.12008OpenAlexW4240663406MaRDI QIDQ4184960

Charles J. Parry

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006350

zbMATH Keywords

UnitsClass NumbersClass Number RelationsTotally Real Algebraic Number Field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Totally real fields (11R80) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items (6)

Class numbers and Iwasawa invariants of certain totally real number fields ⋮ An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five ⋮ Imaginary cyclic fields of degree \(p-1\) whose relative class numbers are divisible by \(p\) ⋮ On \(D_5\)-polynomials with integer coefficients ⋮ A new family of imaginary quadratic fields whose class number is divisible by five ⋮ The Fermat equation over quadratic fields

Cites Work

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• Units of algebraic numberfields
• Kuroda's class number relation
• Real Quadratic Fields With Class Numbers Divisible by Five
• Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers

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