Double Transitivity In Finite Projective Planes

Abstract

A projective plane is characterized to a certain extent by the amount of transitivity it possesses. This amounts essentially to saying that the plane is characterized by its group of collineations. The transitive planes that have been most thoroughly studied are the cyclic planes (8; 10; 12; 13; 14). It is believed that all finite cyclic planes are Desarguesian, but it has not been proved that this is the case.