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

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6 papers · 1 filter

math.NT2020★ 5 cited

On the Hilbert $2$ -class field towers of some cyclotomic $Z_{2}$ -extensions

Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi

In this paper, we study the length of the $2$ -class field towers and the structure of the Galois groups $Gal (L (K_{n}) / K_{n})$ of the maximal unramified $2$ -extension…

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★ 19 cited

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.NT2020

On some imaginary triquadratic number fields $k$ with $Cl_{2} (k) ≃ (2, 4)$ or $(2, 2, 2)$

Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini

Let $d$ be a square free integer and $L_{d} := Q (ζ_{8}, d)$ . In the present work we determine all the fields $L_{d}$ such that the $2$ -class group, $Cl_{2} (L_{d})$ , o…

On the Hilbert 2-class field towers of some cyclotomic Z2​-extensions

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 some imaginary triquadratic number fields k with Cl2​(k)≃(2,4) or (2,2,2)

On the Hilbert $2$ -class field towers of some cyclotomic $Z_{2}$ -extensions

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

On some imaginary triquadratic number fields $k$ with $Cl_{2} (k) ≃ (2, 4)$ or $(2, 2, 2)$