Galois cohomology of special orthogonal groups

Garibaldi, Ryan S.;Tignol, Jean-Pierre;Wadsworth, Adrian R.
(1997) Manuscripta Mathematica — Vol. 93, n° 2, p. 247-266 (1997)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 957.96 KB
Request a copy

Details

Authors
  • Garibaldi, Ryan S.University of California, San Diego
    Author
  • Tignol, Jean-Pierreorcid-logoUCLouvain
    Author
  • Wadsworth, Adrian R.University of California, San Diego
    Author
Abstract
If (A,s) is a central simple algebra of even degree with orthogonal involution, then for the map of Galois cohomology sets from H^1(F, SO(A,s)) to the 2-torsion in the Brauer group of F, we describe fully the image of a given element of H^1(F, SO(A,s)) and prove that this description is correct in two different ways. As an easy consequence, we derive a result of Bartels.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Garibaldi, R. S., Tignol, J.-P., & Wadsworth, A. R. (1997). Galois cohomology of special orthogonal groups. Manuscripta Mathematica, 93(2), 247-266. https://doi.org/10.1007/BF02677469 (Original work published 1997)