5 problems

Let $d \in \mathbb{N}$ and let (\Delta_n)_{n \in \mathbb{N}) be a sequence of finite $d$-dimensional buildings whose thickness satisfies … as $n \rightarrow \infty$. For each bui…

Let $d \in \mathbb{N}$ and let $(\Delta_n)_{n \in \mathbb{N}}$ be a sequence of finite $d$-dimensional buildings whose thickness satisfies … as $n \rightarrow \infty$. Let…

Let $\Delta_{k,n}$ be the finite spherical building of type $A_k$, let $\mathcal{P}(\Delta_{k,n})$ denote its induced subcomplexes, and let $\mathcal{S}(\Delta_{k,n})$ denote the s…

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 $A_{n+1}({\mathbb F}_q)$ be the $n$-dimensional building associated with the projective geometry over the finite field ${\mathbb F}_q$, and let $h_{n-1}$ denote its normalized…