An improved bound for the embedding of linear spaces into projective planes (Q1102538)

Let \({\mathcal L}\) be a linear space with at most \(n^ 2+n+1\) lines, \(n>1\) an integer. When can one embed \({\mathcal L}\) into a projective plane \({\mathcal P}\) of order n? The author improves known results and gives sufficient conditions: Every point has at most \(n+1\) lines, there are at least \(n^ 2+(n/6)+1\) points. \({\mathcal P}\) is unique up to isomorphism.