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# Another Proof of Totaro's Theorem on $E_8$-Torsors

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Published:2006-06-01
Printed: Jun 2006
• Vladimir Chernousov
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## Abstract

We give a short proof of Totaro's theorem that every$E_8$-torsor over a field $k$ becomes trivial over a finiteseparable extension of $k$of degree dividing $d(E_8)=2^63^25$.
 MSC Classifications: 11E72 - Galois cohomology of linear algebraic groups [See also 20G10] 14M17 - Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15] 20G15 - Linear algebraic groups over arbitrary fields

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