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15 February 2004 Splitting fields for E 8 -torsors
Burt Totaro
Duke Math. J. 121(3): 425-455 (15 February 2004). DOI: 10.1215/S0012-7094-04-12132-3

Abstract

We show that every algebraic group of type E 8 over any field becomes split over some field extension of degree dividing 2 6 3 2 5=2880 . This improves a bound by Tits and, in fact, is optimal.

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Burt Totaro. "Splitting fields for E 8 -torsors." Duke Math. J. 121 (3) 425 - 455, 15 February 2004. https://doi.org/10.1215/S0012-7094-04-12132-3

Information

Published: 15 February 2004
First available in Project Euclid: 1 March 2004

zbMATH: 1048.11031
MathSciNet: MR2040282
Digital Object Identifier: 10.1215/S0012-7094-04-12132-3

Subjects:
Primary: 11E72
Secondary: 14M17, 20G15

Rights: Copyright © 2004 Duke University Press

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Vol.121 • No. 3 • 15 February 2004
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