TY - JOUR AU - Quadrelli, Claudio PY - 2021/02/17 Y2 - 2024/03/28 TI - Pro-$p$ groups with few relations and universal Koszulity JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 127 IS - 1 SE - Articles DO - 10.7146/math.scand.a-123644 UR - https://www.mscand.dk/article/view/123644 SP - 28-42 AB - <p>Let $p$ be a prime. We show that if a pro-$p$ group with at most $2$ defining relations has quadratic $\mathbb{F}_p$-cohomology algebra, then this algebra is universally Koszul. This proves the “Universal Koszulity Conjecture” formulated by J.&nbsp;Miná{č} et al. in the case of maximal pro-$p$ Galois groups of fields with at most $2$ defining relations.</p> ER -