The2-rankof the class group of some real cyclic quartic number fields II

DOI10.3906/mat-2011-46zbMath1506.11145arXiv2004.08266OpenAlexW3164276087MaRDI QIDQ5101383

Abdelkader Zekhnini, Mohammed Tamimi, Abdelmalek Azizi

Publication date: 30 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08266

zbMATH Keywords

2-class groupcyclic quartic number field4th power residue symbol

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (3)

On the 2-class number of some real cyclic quartic number fields. I ⋮ The 2-class group of certain families of imaginary triquadratic fields ⋮ The construction of the Hilbert genus fields of real cyclic quartic fields

Cites Work

• Cyclic quartic fields and genus theory of their subfields
• On relative integral bases for cyclic quartic fields
• Classes and units of real cyclic extensions of degree 4 of \(\mathbb{Q}\)
• The 2-class group of biquadratic fields. II
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• A genus theory for quartic fields.
• Pure quartic number fields whose class numbers are even.
• Real Quadratic Fields With Class Numbers Divisible by Five
• The 2-Rank of the Class Group of Imaginary Bicyclic Biquadratic Fields
• Zur Berechnung der 2-Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskrimantenprimteilern.
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