2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126799A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting transitively on the the points of a non-Desarguesianprojective plane must not contain any components.58 pages. This version should be more readable than the previous one!Group TheoryCombinatorics20B25, 51E15text