Incidence matrices for the class ${\mathcal{O}}_6$ of lines external to the twisted cubic in $\mathrm{PG}(3,q)$

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco

We consider the structures of the plane-line and point-line incidence matrices of the projective space $\mathrm{PG}(3,q)$ connected with orbits of planes, points, and lines under t…