Profinite groups with a cyclotomic \(p\)-orientation

DOI10.25537/dm.2020v25.1881-1916zbMath1467.12009arXiv1811.02250OpenAlexW2899614386MaRDI QIDQ2209881

Claudio Quadrelli, Thomas S. Weigel

Publication date: 5 November 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02250

zbMATH Keywords

absolute Galois groupselementary type conjectureRost-Voevodsky theorem

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Limits, profinite groups (20E18)

Related Items (11)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Galois-theoretic features for 1-smooth pro-p groups ⋮ 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 ⋮ Frattini-resistant direct products of pro-\(p\) groups ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Two families of pro-\(p\) groups that are not absolute Galois groups ⋮ Lifting low-dimensional local systems ⋮ On pro-\(p\) groups with quadratic cohomology ⋮ Groups of \(p\)-absolute Galois type that are not absolute Galois groups

Cites Work

• Finite quotients of Galois pro-\(p\) groups and rigid fields.
• Triple Massey products and Galois theory
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• \(p\)-adic étale cohomology
• A recursive description of the maximal pro-2 Galois group via Witt rings
• Relations between \(K_2\) and Galois cohomology
• Maximal abelian normal subgroups of Galois pro-2-groups
• Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\)
• Small maximal pro-\(p\) Galois groups
• Profinite groups of finite cohomological dimension.
• The Kummerian property and maximal pro-\(p\) Galois groups
• Additive structure of multiplicative subgroups of fields and Galois theory
• p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings
• Formally real fields from a Galois theoretic perspective
• Sur la dimension cohomologique des groupes profinis
• \(p\)-adic analytic groups
• Pseudocompact algebras, profinite groups and class formations
• Free subgroups in linear groups
• Triple Massey products vanish over all fields
• Bloch–Kato pro-p groups and locally powerful groups
• The norm residue isomorphism theorem
• Field Arithmetic
• Galois Groups of Maximal p-Extensions
• Abelian subgroups of pro-$p$ Galois groups
• Classification of Demushkin Groups
• Homology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Profinite groups with a cyclotomic \(p\)-orientation