A. Azizi

activity

20022022

2

-class field towers of some multiquadratic number fields

19 citations · 99 across the 25 of their papers we have counts for

collaborators

Showing 2020Show all

8 papers · 1 filter

math.NT2020

On the capitulation problem of some pure metacyclic fields of degree 20

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a positive integer $5^{t h}$ power-free, $k_{0} = Q (ζ_{5})$ be the cyclotomic field containing a pr…

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 generators of $5$ -class group of some fields of degree 20 over $Q$

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $Γ = Q (5 n)$ be a pure quintic field, where $n$ is a positive integer, $5^{t h}$ power-free. Let $k_{0} = Q (ζ_{5})$ be the cyclotomic field containing…

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★ 3 cited

$5$ -rank of ambiguous class groups of quintic Kummer extensions

Fouad Elmouhib, Mohamed Talbi, Abdelmalek Azizi

Let $k = Q (5 n, ζ_{5})$ , where $n$ is a positive integer, $5^{t h}$ power-free, whose $5 -$ class group is isomorphic to $\mathbb{Z}/5\mathbb{Z}\times\mathbb{Z}/5\ma…

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 capitulation problem of some pure metacyclic fields of degree 20

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

The generators of 5-class group of some fields of degree 20 over Q

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

5-rank of ambiguous class groups of quintic Kummer extensions

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

The generators of $5$ -class group of some fields of degree 20 over $Q$

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

$5$ -rank of ambiguous class groups of quintic Kummer extensions

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