Title: Classifications of subsets in the finite projective line
Abstract: Abstract The main purpose of this paper is to classify k-sets in projective linePG(1, 29) which are a set of k projective distinct points. The projective line has been classified into k -set, k = 3,4, …,10, equivalent and inequivalent. Also, the projective equation of the fc-sets and the stabilizer groups of them are constructed. All the computations are doing by using the Group’s algorithm language GAP[7].