M. M. Chems-Eddin

activity

20192021

most citedOn Hilbert genus fields of imaginary cyclic quartic fields

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.NT2021★ 1 cited

On Hilbert genus fields of imaginary cyclic quartic fields

Moulay Ahmed Hajjami, Mohamed Mahmoud Chems-Eddin

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

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

$2$ -class groups of cyclotomic towers of imaginary biquadratic fields and applications

Mohamed Mahmoud Chems-Eddin, Katharina Müller

Let $d$ be a positive square-free integer. In this paper we shall investigate the structure of the $2$ -class group of the cyclotomic $Z_{2}$ -extension of the imaginary biqua…

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

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 Hilbert genus fields of imaginary cyclic quartic fields

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

2-class groups of cyclotomic towers of imaginary biquadratic fields and applications

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

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

$2$ -class groups of cyclotomic towers of imaginary biquadratic fields and applications

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