Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm

DOI10.1007/BF01224968zbMath0448.12008OpenAlexW1965734036MaRDI QIDQ1146719

Bodo Schmithals

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224968

zbMATH Keywords

imaginary quadratic field2-class field towerdiscriminantal prime divisorsminimal discriminant number

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37)

Related Items (11)

A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Infinite class field towers ⋮ Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2 ⋮ Finiteness of \(T\)-tamely ramified and \(S\)-decomposed towers and \(p\)-towers ⋮ Infinite Hilbert class field tower ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Infinite class field towers of number fields of prime power discriminant ⋮ Eine Verallgemeinerung der Klassenrangabschätzung für Zahlkörper von Roquette und Zassenhaus ⋮ Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). ⋮ On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4 ⋮ Unramified subextensions of ray class towers

Cites Work

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• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• A construction for irregular discriminants
• Tours de corps de classes et estimations de discriminants
• A Collocation-Galerkin Method for Poisson's Equation on Rectangular Regions
• On knots in algebraic number theory.
• The Distribution of Ideal Class Numbers of Real Quadratic Fields
• Class Groups of Quadratic Fields
• ON THE CLASS FIELD TOWER OF AN IMAGINARY QUADRATIC NUMBER FIELD
• Lower bounds for discriminants of number fields
• Zum Satz von GOLOD‐SCHAFAREWITSCH
• A table of ideal class groups of imaginary quadratic fields
• A Remark on the Class Field Tower^*

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