Transitive eggs

John Bamberg, Tim Penttila
2006 Innovations in Incidence Geometry Algebraic Topological and Combinatorial  
We prove that a pseudo-oval or pseudo-ovoid (that is not an oval or ovoid) admitting an insoluble transitive group of collineations is elementary and arises over an extension field from a conic, an elliptic quadric, or a Suzuki-Tits ovoid.
doi:10.2140/iig.2006.4.1 fatcat:pzpqqo4ignd5bkxqugmcltjewm