TY - JOUR
AU - Claudio Quadrelli
PY - 2021/02/17
Y2 - 2021/02/25
TI - Pro-$p$ groups with few relations and universal Koszulity
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 127
IS - 1
SE - Articles
DO - 10.7146/math.scand.a-123644
UR - https://www.mscand.dk/article/view/123644
AB - 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. Miná{č} et al. in the case of maximal pro-$p$ Galois groups of fields with at most $2$ defining relations.
ER -