2 problems

Let $\mathcal{X}$ be a connected premaniplex and let $(\mathcal{Y},\eta)$ be a voltage operator that preserves connectivity. Suppose that … for any connectivity-preserving operator…

Let $q$ be a prime power, and consider rank $4$ maniplexes with full automorphism group ${\rm PGL}_2(q)$ whose facet group is isomorphic to ${\rm PGL}_2(q)$. The vertex group is on…