Hostname: page-component-6bb9c88b65-zjgpb Total loading time: 0 Render date: 2025-07-21T00:35:22.530Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  19 January 2007

Skip Garibaldi
Skip Garibaldi
Affiliation:
Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USAskip@member.ams.org
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

Kneser–Titsexceptional groupstably rational20G15

Information

Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 1 , January 2007 , pp. 191 - 200
Copyright
Foundation Compositio Mathematica 2007