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.

Quadrelli, C. (2021). Pro-p groups with few relations and Universal Koszulity. MATHEMATICA SCANDINAVICA, 127(1), 28-42 [10.7146/math.scand.a-123644].

Pro-p groups with few relations and Universal Koszulity

Quadrelli, C.
2021

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.
Articolo in rivista - Articolo scientifico
Galois cohomology, absolute Galois groups, Koszul algebras, enhanced Koszul properties, pro-p groups.
English
17-feb-2021
2021
127
1
28
42
open
Quadrelli, C. (2021). Pro-p groups with few relations and Universal Koszulity. MATHEMATICA SCANDINAVICA, 127(1), 28-42 [10.7146/math.scand.a-123644].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/296633
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