Project

The Kneser-Tits problem for linear algebraic groups of type E_8 of relative rank 2

Duration
01 October 2009 → 30 September 2013
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Group theory and generalisations
    • Non-associative rings and algebras
    • Topological groups, Lie groups
    • General mathematics
    • Geometry
    • Mathematical software
Keywords
E_8 algebra linear algebraic groups
 
Project description

A fundamental problem in the theory of linear algebraic groups is the Kneser-Tits problem. For most groups of relative rank 2, the solution to the Kneser-Tits problem is known. The remaining groups of relative rank 2 for which the problem is unsolved, are two groups of type E_8. Both problems can be reduced to purely algebraic questions. The research in the direction of the study of these problems offers a lot of opportunities.