An embedding theorem for finite planar spaces (Q1265434)

The author considers finite planar spaces in which any two distinct planes intersect in a line. She first proves that the size of a cap cannot exceed \(n^2+1\), where \(n\) is the (common) order of the planes. If a cap of this size exists, a necessary and sufficient condition is given for the planar space to be embeddable in a 3-dimensional projective space.