On the cohomology of Galois groups determined by Witt rings

1998/12/22 by Alejandro Adem, Alejandro Ádem, Adem, Alejandro +5
Mathematics · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT

paper · pdf · doi:10.48550/arxiv.math/9812169

arxiv created 1998/12/22 · openalex publication_date 1998/12/22 · arxiv updated 2016/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F denote a field of characteristic different from two. In this paper we describe the mod 2 cohomology of a Galois group which is determined by the Witt ring WF.

Related

• Field theory and the Cohomology of Some Galois Groups
• Some Galois extensions of quadratic extensions associated with Witt rings
• Invariants cohomologiques mod 2 et invariants de Witt des groupes alternés
• Cohomological invariants in positive characteristic
• The first two cohomology groups of some Galois groups