On the $2$-class group of some number fields with large degree

DOI10.5817/AM2021-1-13OpenAlexW2990861497MaRDI QIDQ5858474

Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi

Publication date: 13 April 2021

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11198

zbMATH Keywords

\(2\)-rankcyclotomic \(\mathbb{Z}_2\)-extension\(2\)-class group

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)

Related Items (3)

On the rank of the 2-class group of some imaginary biquadratic number fields ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications

Cites Work

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• Cyclicity of the unramified Iwasawa module
• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• On the rank of the 2-class group of some imaginary triquadratic number fields
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). II
• On the strongly ambiguous classes of some biquadratic number fields
• Kuroda's class number formula

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