4 papers · 1 filter
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 condition.…
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…
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…
Zassenhaus and lower central filtrations of pro- groups considered as modules
Oussama Hamza
The goal of this paper is to study Zassenhaus and lower central filtrations of finitely generated pro- groups in an isotypical context. We shall focus on the semisimple case. Pa…