On the Hilbert $2$-class field tower of some imaginary biquadratic number fields

DOI10.21136/CMJ.2020.0333-19OpenAlexW3095468529MaRDI QIDQ5858491

Mohamed Mahmoud Chems-Eddin, Idriss Jerrari, Abdelkader Zekhnini, Abdelmalek Azizi

Publication date: 13 April 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0333-19

zbMATH Keywords

capitulationimaginary biquadratic number field\(2\)-class groupHilbert \(2\)-class field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (2)

On Hilbert genus fields of imaginary cyclic quartic fields ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• The genus fields of algebraic number fields
• Divisibility by 8 of the class number of quadratic fields whose 2-class group is cyclic, and biquadratic reciprocity
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• On the parity of the class number of a biquadratic field
• Imaginary bicyclic biquadratic fields with cyclic 2-class group
• Capitulation des 2-classes d'idéaux de certains corps biquadratiques cycliques
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• Kuroda's class number formula
• Capitulation des 2-classes d'idéaux de Q(\sqrt 2,\sqrt d) où d est un entier naturel sans facteurs carrés
• Capitulation des 2-classes d'idéaux de k=Q (\sqrt 2p, i)
• A remark concerning Hilbert's Theorem 94.

This page was built for publication: On the Hilbert $2$-class field tower of some imaginary biquadratic number fields