19 citations · 63 across the 15 of their papers we have counts for
18 papers
Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields
A Azizi, M Rezzougui, A Zekhnini
Let $\mathds{k}$ be a real quadratic number field. Denote by $\mathrm{Cl}_2(\mathds{k})$ its -class group and by $\mathds{k}_2^{(1)}$ (resp. $\mathds{k}_2^{(2)}$) its first (res…
On the Hilbert -class field towers of some cyclotomic -extensions
Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi
In this paper, we study the length of the -class field towers and the structure of the Galois groups of the maximal unramified -extension…
The 2-rank of the class group of some real cyclic quartic number fields II
Abdelmalek Azizi, Mohammed Tamimi, Abdelkader Zekhnini
In this paper, we determine the 2-rank of the class group of certain classes of real cyclic quartic number fields. Precisely, we consider the case in which the quadratic subfield i…
The 2-rank of the class group of some real cyclic quartic number fields
Abdelmalek Azizi, Mohammed Tamimi, Abdelkader Zekhnini
In this paper, we investigate the 2-rank of the class group of some real cyclic quartic number fields. Precisely, we consider the case where the quadratic subfield is Q(\sqrt{l}) w…
Units and -class field towers of some multiquadratic number fields
Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi
In this paper, we investigate the unit groups, the -class groups, the -class field towers and the structures of the second -class groups of some multiquadratic number fiel…
On quaternion algebras over some extensions of quadratic number fields
Vincenzo Acciaro, Diana Savin, Mohammed Taous +1
Let and be two positive primes. Let be an odd positive prime integer and a quadratic number field. Let be an extension of such that is a dihedral ext…