English

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

Combinatorics 2018-07-25 v1

Abstract

In this paper we describe an infinite family of Cameron-Liebler line classes of PG(3,q){\rm PG}(3,q) with parameter (q2+1)/2(q^2 + 1)/2, q1(mod4)q\equiv 1\pmod{4}. The example obtained admits PGL(2,q){\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 q9q \ge 9.

Keywords

Cite

@article{arxiv.1807.09118,
  title  = {Cameron-Liebler line classes of ${\rm PG}(3,q)$ admitting ${\rm PGL}(2,q)$},
  author = {Antonio Cossidente and Francesco Pavese},
  journal= {arXiv preprint arXiv:1807.09118},
  year   = {2018}
}