The group SK2 of a biquaternion algebra

The group SK2 of a biquaternion algebra. In this Note, I will sketch the proof that a sequence relating the group SK2 (kernel of the reduced norm) of a biquaternion algebra over a field F and the Galois cohomology group H-5 (F, Z/2) is exact. The main steps of the proof contain computations in spectral sequences for motivic cohomology and in the topological filtration of an Albert quadric. To cite this article: B. Calmes, C. R. Acad. Sci. Paris, Ser. I 337 (2003). (C) 2003 Academie des sciences. Publie par Editions scientifiques et medicales Elsevier SAS. Tous droits reserves.