Galois groups and cohomological functors

DOI10.1090/tran/6724zbMath1390.12004arXiv1103.1508OpenAlexW2963923628MaRDI QIDQ2951916

Mináč, Ján, Ido Efrat

Publication date: 10 January 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1508

zbMATH Keywords

maximal \(p\)-extensionabsolute Galois groupprofinite groupinflation mapcohomology graded ringGalois symbol homomorphism

Mathematics Subject Classification ID

Galois cohomology (12G05) Field arithmetic (12E30)

Related Items

THE p-ZASSENHAUS FILTRATION OF A FREE PROFINITE GROUP AND SHUFFLE RELATIONS ⋮ Filtrations of free groups arising from the lower central series ⋮ Dimensions of Zassenhaus filtration subquotients of some pro-\(p\)-groups ⋮ Reconstructing function fields from rational quotients of mod-\(\ell \) Galois groups ⋮ The Galois action on geometric lattices and the mod-\(\ell \) I/OM ⋮ Triple Massey products and absolute Galois groups ⋮ Triple Massey products vanish over all fields ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Filtrations of free groups as intersections. ⋮ Triple Massey products and Galois theory ⋮ Counting Galois \(\mathbb{U}_4(\mathbb{F}_p)\)-extensions using Massey products ⋮ Relations in the maximal pro-𝑝 quotients of absolute Galois groups ⋮ The lower \(p\)-central series of a free profinite group and the shuffle algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the birational anabelian program initiated by Bogomolov. I
• Filtrations of free groups as intersections.
• Triple Massey products and Galois theory
• Formally real fields, pythagorean fields, C-fields and W-groups
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• Quotients of absolute Galois groups which determine the entire Galois cohomology
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Witt rings and Galois groups
• The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
• Commuting-liftable subgroups of Galois groups. II
• The Zassenhaus filtration, Massey products, and representations of profinite groups
• Sur la dimension cohomologique des groupes profinis
• Introduction to birational anabelian geometry
• On the descending central sequence of absolute Galois groups
• The norm residue isomorphism theorem
• Small Galois groups that encode valuations
• Euklidische Körper und euklidische Hüllen von Körpern.
• Galois module structure of (ℓ ⁿ )th classes of fields
• Demuškin groups of rank $\aleph_0$
• Zum Einbettungsproblem.
• Profinite Groups

This page was built for publication: Galois groups and cohomological functors