Oussama Hamza

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math.NT2026

Tame Galois Groups, Linking Numbers and Mildness

Julian Feuerpfeil, Oussama Hamza, Donghyeok Lim

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

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…