Natural Representations of the P-Geometries of Co₂-Type

We consider flag-transitive P-geometries that are geometries belonging to the diagrams where the rightmost edge means the geometry of the edges and the vertices of the Petersen graph with the natural incidence relation. The main result of the paper together with some earlier results provides the classification of the flag-transitive P-geometries possessing natural representations together with a description of all such representations.