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Compositio Mathematica (2007), 143 : 191-200 Cambridge University Press
Copyright © Foundation Compositio Mathematica 2007
doi:10.1112/S0010437X06002417
Published online by Cambridge University Press 19 Jan 2007


Kneser–Tits for a rank 1 form of $E_6$ (after Veldkamp)


Skip Garibaldi a1
a1 Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA skip@member.ams.org

Article author query
garibaldi s   [Google Scholar
 

Abstract

We prove the Kneser-Tits conjecture for groups of index $^2E^{29}_{6,1}$ using an argument inspired by a 1968 paper by Veldkamp. We also prove that these groups are stably rational varieties.

(Published Online January 19 2007)
(Received November 9 2005)
(Accepted May 22 2006)


Key Words: Kneser–Tits; exceptional group; stably rational.

Maths Classification

20G15.



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