collaborators

5 papers

math.NT2026

Tame Galois Groups, Linking Numbers and Mildness

Julian Feuerpfeil, Oussama Hamza, Donghyeok Lim

Let be an odd prime and let be a set of tame primes. We denote by the Galois group of the maximal pro- extension of unramified outside . We prove t…

math.GR2026

Filtrations and cohomology on graph products

Oussama Hamza

Let be a prime. We resolve a question posed by Mináč-Rogelstad-Tân. We relate the Zassenhaus and the lower central series of pro- groups under a torsion-freeness conditio…

math.GR2025

Maximal -extensions of Pythagorean fields and Right Angled Artin Groups

Oussama Hamza, Christian Maire, Ján Mináč +1

In this paper, we describe minimal presentations of maximal pro- quotients of absolute Galois groups of formally real Pythagorean fields of finite type. For this purpose, we int…

math.NT2025

Massey products and unipotent extensions with restricted ramification

Oussama Hamza, Donghyeok Lim, Christian Maire

We fix a prime p and construct new cases of pro-p extensions of number fields with restricted ramification and splitting, whose Galois groups decompose as coproducts of pro-p absol…

math.GR2025

On extensions of number fields with given quadratic algebras and cohomology

Oussama Hamza

We introduce a criterion on the presentation of finitely presented pro- groups which allows us to compute their cohomology groups and infer quotients of mild groups of cohomolog…