Cohomological invariants for \(G\)-Galois algebras and self-dual normal bases

zbMath1437.11157arXiv1608.04483MaRDI QIDQ507689

Eva Bayer-Fluckiger, Raman Parimala

Publication date: 7 February 2017

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

Full work available at URL: https://arxiv.org/abs/1608.04483

zbMATH Keywords

Galois cohomologyinvolutiontrace formcohomological invariantsimple algebra\(G\)-Galois algebraself-dual normal basis

Mathematics Subject Classification ID

Galois cohomology (11S25) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Quadratic forms over global rings and fields (11E12) Finite-dimensional division rings (16K20) Galois cohomology (11R34) Quadratic forms over local rings and fields (11E08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Classical groups and the Hasse principle.
• Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
• Théoremes de finitude en cohomologie galoisienne
• Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Torsions Quadratiques et Bases Normales Autoduales
• Hasse principle for $ G$-trace forms
• Patching and weak approximation in isometry groups

This page was built for publication: Cohomological invariants for \(G\)-Galois algebras and self-dual normal bases