On 2-class field towers for quadratic number fields with 2-class group of type (2,2)

DOI10.1017/S0017089500032353zbMath0928.11048MaRDI QIDQ4212566

Frank III Gerth

Publication date: 17 January 2000

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

quadratic number fieldsrelative density2-class field tower length

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (1)

DISTRIBUTION OF GALOIS GROUPS OF MAXIMAL UNRAMIFIED 2-EXTENSIONS OVER IMAGINARY QUADRATIC FIELDS

Cites Work

• The 4-class ranks of quadratic fields
• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• Densities for Ranks of Certain Parts of p-Class Groups
• Some Density Results for Negative Pell Equations; an Application of Graph Theory
• Counting certain number fields with prescribed l-class numbers.
• Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.
• Real Quadratic Number Fields with 2-Class Group of Type (2,2).

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