Results in Projective Geometry ,

Abstract

In projective plane over a finite field , a conic is the unique complete arc and any arcs on a conic are incomplete arc of degree less than . These arcs correspond to sets in the projective line over the same field. In this paper, The number of inequivalent incomplete arcs; , on the conic in and stabilizer group types are found. Also, the projective line has been splitting into two 12-sets and partitioned into six disjoint tetrads.