Mohamed I University

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19982026

most citedCombined Measurement of the Higgs Boson Mass in

pp

Collisions at

s = 7

and 8 TeV with the ATLAS and CMS Experiments

1.4k citations

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21 papers · 1 filter

math.NT2023

Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields

A Azizi, M Rezzougui, A Zekhnini

Let $\mathds{k}$ be a real quadratic number field. Denote by $\mathrm{Cl}_2(\mathds{k})$ its $2$ -class group and by $\mathds{k}_2^{(1)}$ (resp. $\mathds{k}_2^{(2)}$) its first (res…

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★ 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★ 18 cited

Unit groups of some multiquadratic number fields and $2$ -class groups

Mohamed Mahmoud Chems-Eddin

Let $p \equiv - q \equiv 5 (mod 8)$ be two prime integers. In this paper, we investigate the unit groups of the fields $L_{1} = Q (2, p, q, - 1)$ and…

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…

Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields

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

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

Unit groups of some multiquadratic number fields and 2-class groups

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

5-rank of ambiguous class groups of quintic Kummer extensions

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

Unit groups of some multiquadratic number fields and $2$ -class groups

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

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