8 papers · 1 filter
On the Existence of the Maximal Unramified Pro--Extension over the Cyclotomic -Extension with Prescribed Metacyclic Galois Group
Mohamed Mahmoud Chems-Eddin, Hamza El Mamry
For an integer , 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…
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 -class field tower of real quadratic number fields whose discriminants are not a sum of tw…
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 -rank of the class group in the cyclotomic -extension of real biquadratic fields. In fact, we give several…
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…
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 -class numbers of the fields and $ \mathbb{L}= \mathbb{Q}( \sqrt{…
On the maximal unramified pro-2-extension of -extension of certain real biquadratic fields
Mohamed Mahmoud Chems-Eddin
For any positive integer , we show that there exists a real number field (resp. ) of degree whose -class group is isomorphic to $\mathbb{Z}/2\mathbb{Z}\time…