Cameron-Liebler line classes of $\mathrm{PG}(3,q)$ admitting $\mathrm{PGL}(2,q)$

Abstract

In this paper we describe an infinite family of Cameron-Liebler line classes of $\mathrm{PG}(3,q)$ with parameter $(q^2+1)/2$, $q\equiv 1(\mathrm{mod}4)$. The example obtained admits $\mathrm{PGL}(2,q)$ as an automorphism group and it is shown to be isomorphic to none of the infinite families known so far whenever $q\ge 9$.

References in corpus (1)

• Derivation of Cameron-Liebler line classes