Hamza El Mamry

collaborators

2 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

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…

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

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

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