12 citations · 23 across the 6 of their papers we have counts for
10 papers
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…
On quaternion algebras that split over quadratic number fields
Vincenzo Acciaro, Diana Savin, Mohammed Taous +1
Let and be two distinct squarefree integers and the ring of integers of the quadratic field . Denote by a quaternion al…
Capitulation in the absolutely abelian extensions of some fields
Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous
We study the capitulation of -ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields $\mathbf{k} =\mathbb{Q}(\sqrt{p_1p_2q}, i)…