2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126800We present a partial classification of those finite linear spaces $\mathcal{S}$ on which an almost simple group $G$ with socle $PSL(3,q)$ acts line-transitively.28 pages, corrected reference. This version should be more readable than the previous one!Group TheoryCombinatorics05E15, 05B05$PSL(3,q)$ and line-transitive linear spacestext