Let p be a prime. We show that if a pro-p group with at most 2 defining relations has quadratic F_p-cohomology, then such algebra is universally Koszul. This proves the "Universal Koszulity Conjecture" formulated by J. Mináč et al. in the case of maximal pro-p Galois groups of fields with at most 2 defining relations.
Pro-p groups with few relations and Universal Koszulity
Quadrelli, C.
2021-01-01
Abstract
Let p be a prime. We show that if a pro-p group with at most 2 defining relations has quadratic F_p-cohomology, then such algebra is universally Koszul. This proves the "Universal Koszulity Conjecture" formulated by J. Mináč et al. in the case of maximal pro-p Galois groups of fields with at most 2 defining relations.
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