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2020•Journal of Interdisciplinary MathematicsRequires access

Study of orbits on the finite projective plane

Najm Abdulzahra Makhrib Al-Seraji, Ahmed Bakheet, Zainab Sadiq Jafar

Open publisher page 9 citations

Abstract

The aims of this paper are to classify the group action on a projective plane PG(2, q), when q 2 + q + 1 is not a prime, and then describe the geometry of these orbits with values of q = 43, 47, 49. Investigate partitions of PG(2, q) with q = 49, into subgeometries PG(2, q) when q = 7. Also establish codes and arcs with different degrees.

About this research paper

What this paper is about

The aims of this paper are to classify the group action on a projective plane PG(2, q), when q 2 + q + 1 is not a prime, and then describe the geometry of these orbits with values of q = 43, 47, 49. Investigate partitions of PG(2, q) with q = 49, into subgeometries PG(2, q) when q = 7. Also establish codes and arcs with different degrees.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The aims of this paper are to classify the group action on a projective plane PG(2, q), when q 2 + q + 1 is not a prime, and then describe the geometry of these orbits with values of q = 43, 47, 49. Investigate partitions of PG(2, q) with q = 49, into subgeometries PG(2, q) when q = 7. Also establish codes and arcs with different degrees.

Key concepts: Projective plane, Projective test, Prime (order theory), Blocking set, Mathematics, Plane (geometry), Finite geometry, Pure mathematics

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