A. Azizi

activity

20152022

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

for some fields

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

12 citations · 18 across the 8 of their papers we have counts for

collaborators

Showing 2019 · math.NTShow all

4 papers · 2 filters

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

5-Class towers of cyclic quartic fields arising from quintic reflection

Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2

Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…

math.NT2019

Principal factors and lattice minima

Siham Aouissi, Abdelmalek Azizi, Moulay Chrif Ismaili +2

Let $k = Q (3 d, ζ_{3})$ , where $d > 1$ is a cube-free positive integer, $k_{0} = Q (ζ_{3})$ be the cyclotomic field containing a primitive cube root o…

math.NT2019

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

5-Class towers of cyclic quartic fields arising from quintic reflection

Principal factors and lattice minima

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