On the 2-class number of some real cyclic quartic number fields. I

DOI10.1007/S40590-023-00589-XOpenAlexW4391883671MaRDI QIDQ6151700

Abdelkader Zekhnini, Mohammed Tamimi, Abdelmalek Azizi

Publication date: 11 March 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00589-x

zbMATH Keywords

class number2-rankquadratic extension2-class groupreal cyclic quartic number field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Totally real fields (11R80)

Cites Work

• Genera in normal extensions
• The 2-class group of biquadratic fields. II
• The 2-rank of the class group of some real cyclic quartic number fields
• A genus theory for quartic fields.
• Genera in Abelian Extensions
• The2-rankof the class group of some real cyclic quartic number fields II
• Zur Berechnung der 2-Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskrimantenprimteilern.
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