One relator maximal pro-p Galois groups and the Koszulity conjectures

Claudio Quadrelli

Let $p$ be a prime number and let $K$ be a field containing a root of 1 of order $p$. If the absolute Galois group $G_K$ satisfies $\dim H^1(G_K,{\mathbb{F}}_p)<\infty$ and $\d…