Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields
From MaRDI portal
Publication:6591982
DOI10.46298/cm.10983MaRDI QIDQ6591982
Mohammed Rezzougui, Abdelmalek Azizi, Abdelkader Zekhnini
Publication date: 23 August 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group
- Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field
- Konstruktion imaginärquadratischer Körper mit unendlichem Klassenkörperturm
- Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
- Real quadratic fields with abelian 2-class field tower
- Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\)
- Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
- Classification of metabelian 2-groups \(G\) with \(\mathbf{G}^{\mathrm{ab}} (\mathbf{2},\mathbf{2}^{\mathbf n})\), \(\mathbf n\geq \mathbf 2\), and rank \(\mathbf d(\mathbf G^{\prime})=\mathbf 2\). Applications to real quadratic number fields
- Über die Lösbarkeit der Gleichung \(t^2-Du^2=-4\)
- On the parity of the class number of a biquadratic field
- On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions
- On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\)
- Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
- Generalizations of Certain Elementary Theorems on p -Groups
- Sur le 2-groupe des classes d'idéaux des corps quadratiques.
- Kuroda's class number formula
- Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.
- Real Quadratic Number Fields with 2-Class Group of Type (2,2).
- On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields
- On the Hilbert 2-class field of some quadratic number fields
- Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\).
Related Items (1)
This page was built for publication: Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6591982)