1. CMB 2002 (vol 45 pp. 388)
|AlgÃ¨bres simples centrales de degrÃ© 5 et $E_8$ |
As a consequence of a theorem of Rost-Springer, we establish that the cyclicity problem for central simple algebra of degree~5 on fields containg a fifth root of unity is equivalent to the study of anisotropic elements of order 5 in the split group of type~$E_8$.
Keywords:algÃ¨bres simples centrales, cohomologie galoisienne
Categories:16S35, 12G05, 20G15