A. Zekhnini

activity

20152020

G a l (k_{2}^{(2)} / k)

for some fields

k = Q (2 p_{1} p_{2}, - 1)

12 citations · 23 across the 6 of their papers we have counts for

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math.NT2020

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…

math.NT2020

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…

math.NT2020

Units and $2$ -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 $2$ -class groups, the $2$ -class field towers and the structures of the second $2$ -class groups of some multiquadratic number fiel…

math.NT2020

On quaternion algebras over some extensions of quadratic number fields

Vincenzo Acciaro, Diana Savin, Mohammed Taous +1

Let $p$ and $q$ be two positive primes. Let $ℓ$ be an odd positive prime integer and $F$ a quadratic number field. Let $K$ be an extension of $F$ such that $K$ is a dihedral ext…

math.NT2019

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…

The 2-rank of the class group of some real cyclic quartic number fields II

The 2-rank of the class group of some real cyclic quartic number fields

Units and 2-class field towers of some multiquadratic number fields

On quaternion algebras over some extensions of quadratic number fields

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

On quaternion algebras that split over quadratic number fields

Units and $2$ -class field towers of some multiquadratic number fields

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