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.