Oussama Hamza

Oussama Hamza
The University of Western Ontario | UWO

About

3
Publications
141
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1
Citation
Citations since 2017
3 Research Items
1 Citation
20172018201920202021202220230.00.51.01.52.0
20172018201920202021202220230.00.51.01.52.0
20172018201920202021202220230.00.51.01.52.0
20172018201920202021202220230.00.51.01.52.0
Introduction

Publications

Publications (3)
Preprint
The goal of this paper is to study Zassenhaus and lower central filtrations of finitely generated pro-$p$ groups in an isotypical context. A particular attention is given for finitely presented groups of cohomological dimension less than or equal two.
Article
Let p be a prime number, and let \({K}\) be a number field. For \(p=2\), assume moreover that \({K}\) is totally imaginary. In this note, we prove the existence of asymptotically good extensions \({L}/{K}\) of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ram...
Preprint
Full-text available
Let p be a prime number, and let K be a number field. For p=2, assume moreover K totally imaginary. In this note we prove the existence of asymptotically good extensions L{K of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ramakrishna [7].

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