Pro-p groups with few relations and Universal Koszulity
Group Theory
2021-04-30 v2 K-Theory and Homology
Number Theory
Abstract
Let be a prime. We show that if a pro- group with at most 2 defining relations has quadratic -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- Galois groups of fields with at most 2 defining relations.
Keywords
Cite
@article{arxiv.2003.09186,
title = {Pro-p groups with few relations and Universal Koszulity},
author = {Claudio Quadrelli},
journal= {arXiv preprint arXiv:2003.09186},
year = {2021}
}
Comments
To appear on "Math. Scandinavica"