Pro-p groups with few relations and Universal Koszulity

Claudio Quadrelli

doi:10.7146/math.scand.a-123644

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arXiv · 2003.09186

Pro-p groups with few relations and Universal Koszulity

Claudio Quadrelli

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Abstract

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, then such algebra is universally Koszul. This proves the "Universal Koszulity Conjecture" formulated by J. Min\'a\v{c} et al. in the case of maximal pro-$p$ Galois groups of fields with at most 2 defining relations.

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Claudio Quadrelli. 2020-03-20. Pro-p groups with few relations and Universal Koszulity. https://doi.org/10.7146/math.scand.a-123644

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