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2021•Journal of Physics Conference SeriesOpen access

Classifications of subsets in the finite projective line

Najm Abdulzahra Makhrib, Al-Seraji, Fatima Ahmed Musa

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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].

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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].

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Available 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].

Key concepts: Projective test, Projective line, Blocking set, Projective space, Mathematics, Projective linear group, Collineation, Real projective line

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