M. Taous

activity

20142021

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

for some fields

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

12 citations · 25 across the 11 of their papers we have counts for

collaborators

13 papers

math.NT2021

Hilbert genus fields of some number fields with high degrees

Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous

The aim of this paper is to give some properties of Hilbert genus fields and construct the Hilbert genus fields of the fields $L_{m, d} := Q (ζ_{2^{m}}, d)$ , where $m\geq…

math.NT2021

The construction of the Hilbert genus fields of real cyclic quartic fields

Mohamed Mahmoud Chems-Eddin, Moulay Ahmed Hajjami, Mohammed Taous

Let $p$ be a prime number such that $p = 2$ or $p \equiv 1 (mod 4)$ . Let $ε_{p}$ denote the fundamental unit of $Q (p)$ and let $a$ be a positive square-free int…

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-rank and 4-rank of the class group of some real pure quartic number fields

Mbarek Haynou, Mohammed Taous

Let $K = Q (4 p d^{2})$ be a real pure quartic number field and $k = Q (p)$ its real quadratic subfield, where $p \equiv 5 (mod 8)$ is a prime integer and $…

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.NT2016

Capitulation in the absolutely abelian extensions of some number fields II

Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous

We study the capitulation of $2$ -ideal classes of an infinite family of imaginary biquadratic number fields consisting of fields $k = Q (p q_{1} q_{2}, i)$ , where $i = - 1$ and…