 Kneser–Tits conjecture

The Kneser–Tits conjecture is a statement in the field of algebraic groups and the theory of group actions, particularly concerning the structure of algebraic groups and their associated buildings. It was proposed by mathematicians Max Kneser and Jacques Tits. The conjecture pertains to the relationship between a certain class of algebraic groups defined over a field and their maximal compact subgroups.