Pro-p groups with few relations and universal koszulity

Claudio Quadrelli

doi:10.7146/math.scand.a-123644

Pro-p groups with few relations and universal koszulity

Claudio Quadrelli

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 algebra, then this 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.

Original language	English
Pages (from-to)	28-42
Number of pages	15
Journal	Mathematica Scandinavica
Volume	127
Issue number	1
DOIs	https://doi.org/10.7146/math.scand.a-123644
State	Published - 1 Jan 2021
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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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 Fp-cohomology algebra, then this 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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AB - Let p be a prime. We show that if a pro-p group with at most 2 defining relations has quadratic Fp-cohomology algebra, then this 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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Pro-p groups with few relations and universal koszulity

Abstract

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