Splitting fields for $E_{8}$ -torsors
Totaro, Burt
Duke Math. J., Tome 121 (2004) no. 1, p. 425-455 / Harvested from Project Euclid
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We show that every algebraic group of type $E_{8}$ over any field becomes split over some field extension of degree dividing $2^{6}\cdot 3^{2}\cdot 5=2880$ . This improves a bound by Tits and, in fact, is optimal.
Publié le : 2004-02-15
Classification:  11E72,  14M17,  20G15 
@article{1078170755,
     author = {Totaro, Burt},
     title = {Splitting fields for 
 $E\_{8}$ -torsors},
     journal = {Duke Math. J.},
     volume = {121},
     number = {1},
     year = {2004},
     pages = { 425-455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1078170755}
}

Totaro, Burt. Splitting fields for 
 $E_{8}$ -torsors. Duke Math. J., Tome 121 (2004) no. 1, pp.  425-455. http://gdmltest.u-ga.fr/item/1078170755/