M. M. Chems-Eddin

activity

20192026

2

-class field towers of some multiquadratic number fields

19 citations · 71 across the 23 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

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

Arithmetic of some real triquadratic fields; Units and 2-class groups

Mohamed Mahmoud Chems-Eddin

In this paper, we compute the unit groups and the $2$ -class numbers of the Fröhlich's triquadratic fields $\KK=\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$, where $p$ and $q$ are two pr…

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.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…