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.
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