On the Computation of Unit Groups and Class Groups of Totally Complex Quartic Fields

DOI10.2307/2153118zbMath0778.11077OpenAlexW4246566615MaRDI QIDQ5288236

Johannes Graf von Schmettow, Michael E. Pohst

Publication date: 15 August 1993

Full work available at URL: https://doi.org/10.2307/2153118

zbMATH Keywords

class groupsregulatorunit groupstotally complex quartic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Software, source code, etc. for problems pertaining to number theory (11-04)

Uses Software

• KANT/KASH

Cites Work

• On principal ideal testing in algebraic number fields
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• The Computation of the Fundamental Unit of Totally Complex Quartic Orders
• On the Computation of Unit Groups and Class Groups of Totally Real Quartic Fields
• Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper.
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