Mild pro-\(p\) groups and the Koszulity conjectures

DOI10.1016/j.exmath.2022.03.004OpenAlexW3166427664WikidataQ113874245 ScholiaQ113874245MaRDI QIDQ2674676

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

Publication date: 14 September 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.03675

zbMATH Keywords

Galois cohomologyquadratic algebrasKoszul algebrasmaximal pro-\(p\) Galois groupsmild pro-\(p\) groups

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Cohomology of groups (20J06) Limits, profinite groups (20E18) Quadratic and Koszul algebras (16S37)

Related Items (1)

On pro-\(p\) groups with quadratic cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher Massey products in the cohomology of mild pro-\(p\)-groups.
• Mild 2-relator pro-\(p\)-groups.
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification
• Quotients of absolute Galois groups which determine the entire Galois cohomology
• Galois cohomology of a number field is Koszul
• Algebraic invariants for right-angled Artin groups.
• Non-commutative graded algebras and their Hilbert series
• Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\)
• Small maximal pro-\(p\) Galois groups
• Koszul duality and Galois cohomology
• Profinite groups with a cyclotomic \(p\)-orientation
• Koszul algebras and quadratic duals in Galois cohomology
• Graded Lie algebras of type FP
• Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality
• Algèbres de Lie et pro-p-groupes définis par une seule relation
• Strongly free sequences and pro-p-groups of cohomological dimension 2
• Koszul Lie Algebras
• Bloch–Kato pro-p groups and locally powerful groups
• A Survey on Koszul Algebras and Koszul Duality
• One-Relator Maximal Pro-p Galois Groups and the Koszulity Conjectures
• The norm residue isomorphism theorem
• MILD PRO-p-GROUPS AS GALOIS GROUPS OVER GLOBAL FIELDS
• Circular sets of prime numbers and p-extensions of the rationals
• Mild pro-p-groups and Galois groups of p-extensions of ℚ
• Detecting fast solvability of equations via small powerful Galois groups
• Über Pro-p-Fundamentalgruppen markierter arithmetischer Kurven
• The Determination of the Lie Algebra Associated to the Lower Central Series of a Group
• Determination of a class of Poincaré series.
• Über Pro-p-Gruppen der kohomologischen Dimension 2
• The Norm Residue Theorem in Motivic Cohomology
• Koszul Duality Patterns in Representation Theory
• Pro-$p$ groups with few relations and universal Koszulity
• SOME EXAMPLES OF FAB AND MILD PRO-p-GROUPS WITH TRIVIAL CUP-PRODUCT
• Classification of Demushkin Groups
• Koszul Resolutions
• Koszul property and Bogomolov's conjecture
• Profinite Groups
• Algebraic Operads

This page was built for publication: Mild pro-\(p\) groups and the Koszulity conjectures