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Some p‐ranks related to a conic in PG(2, q)
Authors:Junhua Wu
Institution:Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, Massachusetts 01609
Abstract:Let A 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 A is partitioned into 9 submatrices. The rank of each of these submatrices over Fq, the defining field of PG(2, q), is determined. © 2010 Wiley Periodicals, Inc. J Combin Designs 18: 224–236, 2010
Keywords:conic  external point  internal point  p‐rank  secant line  skew line  tangent line
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