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math.GR2026
Filtrations and cohomology on graph products
Oussama Hamza
Let be a prime. We resolve a question posed by MináÄ-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 MinÃ¡Ä +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.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…