A. Zekhnini

activity

20142023

2

-class field towers of some multiquadratic number fields

19 citations · 63 across the 15 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 7 cited

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

Mohamed Mahmoud Chems-Eddin, Abdelmalek Azizi, Abdelkader Zekhnini

Let $d$ be an odd square-free integer, $m \geq 3$ any integer and $L_{m, d} := Q (ζ_{2^{m}}, d)$ . In this paper, we shall determine all the fields $L_{m, d}$ having an odd…

math.NT2019★ 1 cited

On quaternion algebras that split over quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $d$ and $m$ be two distinct squarefree integers and $O_{K}$ the ring of integers of the quadratic field $K = Q (d)$ . Denote by $H_{K} (α, m)$ a quaternion al…

math.NT2019★ 7 cited

On the rank of the $2$ -class group of some imaginary triquadratic number fields

Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini

Let $d$ be an odd square-free integer and $ζ_{8}$ a primitive $8$ -th root of unity. The purpose of this paper is to investigate the rank of the $2$ -class group of the fields $L_d=\ma…

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

On quaternion algebras that split over quadratic number fields

On the rank of the 2-class group of some imaginary triquadratic number fields

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

On the rank of the $2$ -class group of some imaginary triquadratic number fields