On determining the 4-rank of the ideal class group of a quadratic field

DOI10.1016/0022-314X(80)90052-9zbMath0438.12001OpenAlexW1993330711MaRDI QIDQ1141684

Jeffrey C. Lagarias

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-314x(80)90052-9

zbMATH Keywords

graph theoryquadratic field4-ranknarrow ideal class groupPumplün criterionRedei- Reichardt criterion

Mathematics Subject Classification ID

Trees (05C05) Quadratic extensions (11R11) Iwasawa theory (11R23) Eulerian and Hamiltonian graphs (05C45)

Related Items (4)

A generalization of a result of Iwasawa on the capitulation problem ⋮ On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\) ⋮ Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group ⋮ Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3

Cites Work

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• Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.
• Über die Klassenzahl und die Grundeinheit des reellquadratischen Zahlkörpers.

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