2 problems

Let $\Delta$ be a finite thick irreducible building of rank $\geq 2$. Tits's conjecture. The building $\Delta$ should be the building associated with a finite simple group of Lie t…

Let $\Delta$ be an infinite thick irreducible compact spherical building of rank at least $2$. Strong transitivity characterization conjecture. The building $\Delta$ is the spheric…