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

Antonio Cossidente, Francesco Pavese

Published 2018-07-24Version 1

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