On the $PG{L}_2(q)$-orbits of lines of $PG(3,q)$ and binary quartic forms

Krishna Kaipa, Nupur Patanker, Puspendu Pradhan

We study the problem of classifying the lines of the projective $3$-space $PG(3,q)$ over a finite field $GF(q)$ into orbits of the group $G=PGL(2,q)$ of linear symmetries of the tw…