Line-Transitive Point-Imprimitive Linear Spaces with Fang-Li Parameter gcd$(k,r)$ at most $12$

  • Wenya Hao
  • Haiyan Guan
  • Yajie Wang
DOI: https://doi.org/10.37236/12615

Abstract

This paper investigates the finite line-transitive point-imprimitive linear spaces. Let $S$ be a non-trivial finite line-transitive point-imprimitive linear space with the Fang-Li parameter $k^{(r)}=11$ or $12$. Our conclusion is that $\mathcal{S}$ is a Desarguesian projective plane PG(2,11).

Published
2024-04-05
Issue
Volume 31, Issue 2 (2024)
Article Number
P2.10