M. M. Chems-Eddin

activity

20242026

collaborators

8 papers

math.NT2026

On the Existence of the Maximal Unramified Pro- $2$ -Extension over the Cyclotomic $Z_{2}$ -Extension with Prescribed Metacyclic Galois Group

Mohamed Mahmoud Chems-Eddin, Hamza El Mamry

For an integer $m \geq 2$ , we aim to investigate the realizability of types of metacyclic-nonmodular groups, whose abelianization is $\mathbb{Z}/2 \mathbb{Z}\times\mathbb{Z}/2^m \ma…

math.NT2026

On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields: Lengths Heuristics Follow-Up

Elliot Benjamin, Mohamed Mahmoud Chems-Eddin

In this article we continue the investigation of the length of the narrow $2$ -class field tower of real quadratic number fields $k$ whose discriminants are not a sum of tw…

math.NT2026

Greenberg's conjecture and Iwasawa module of Real biquadratic fields II

Mohamed Mahmoud Chems-Eddin, Hamza El Mamry

In this paper we are interested in the stability of the $2$ -rank of the class group in the cyclotomic $Z_{2}$ -extension of real biquadratic fields. In fact, we give several…

math.NT2025

Greenberg's conjecture and Iwasawa module of Real biquadratic fields I

Mohamed Mahmoud Chems-Eddin

The main aim of this paper is to investigate Greenberg's conjecture for real biquadratic fields. More precisely, we propose the following problem: What are real biquadratic number…

math.AC2025

Note on the Krull dimension of rings of integer-valued polynomials

M. M. Chems-Eddin, B. Feryouch, A. Tamoussit

Let $D$ be an integral domain with quotient field $K,$ $E$ a subset of $K$ and $X$ an indeterminate over $K$ . The set $Int (E, D) := {f \in K [X]; f (E) \subseteq D}$ , of inte…

math.NT2025

On the unit group of some multiquadratic fields

Mohamed Mahmoud Chems-Eddin, Hamza El Mamry

In this paper, we calculate the unit groups and the $2$ -class numbers of the fields $K = Q (2, p_{1}, p_{2})$ and $ \mathbb{L}= \mathbb{Q}( \sqrt{…

On the Existence of the Maximal Unramified Pro-2-Extension over the Cyclotomic Z2​-Extension with Prescribed Metacyclic Galois Group

On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields: Lengths Heuristics Follow-Up

Greenberg's conjecture and Iwasawa module of Real biquadratic fields II

Greenberg's conjecture and Iwasawa module of Real biquadratic fields I

Note on the Krull dimension of rings of integer-valued polynomials

On the unit group of some multiquadratic fields

On the Existence of the Maximal Unramified Pro- $2$ -Extension over the Cyclotomic $Z_{2}$ -Extension with Prescribed Metacyclic Galois Group