2 problems

Let $q$ be a prime power, let $\mathcal{Q}=Q^+(5,q)$ be the Klein quadric, and fix a plane $\pi$ in $\mathcal{Q}$. Let $\mathcal{P}$ be the set of planes in $\mathcal{Q}$ disjoint…

Let $n$ be a positive integer, let $q$ be a prime power, and let $k$ be an integer with $1<k<n$ such that $k$ divides $n$. An affine vector space partition is a partition of the po…