Koszul algebras and quadratic duals in Galois cohomology

DOI10.1016/j.aim.2021.107569zbMath1483.12003arXiv1808.01695OpenAlexW2887043418MaRDI QIDQ2227271

Nguyễn Duy Tân, Federico W. Pasini, Claudio Quadrelli, Mináč, Ján

Publication date: 15 February 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01695

zbMATH Keywords

Galois cohomologyquadratic algebrasKoszul algebrasZassenhaus filtrationelementary type conjecture

Mathematics Subject Classification ID

Galois cohomology (12G05) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (8)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Enhanced Koszul properties in Galois cohomology ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Right‐angled Artin pro‐p$p$ groups ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Galois module structure of the units modulo \(p^m\) of cyclic extensions of degree \(p^n\) ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\) ⋮ On pro-\(p\) groups with quadratic cohomology

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