Some p-ranks related to a conic in PG(2,q)

الأصل · EN

Let be the incidence matrix of lines and points of the classical projective plane PG(2,q) with q odd. With respect to a conic in PG(2,q), the matrix is partitioned into 9 submatrices. The rank of each of these submatices over, the defining field of PG(2,q), is determined.