Study of orbits on the finite projective plane. Issue 6 (17th August 2020)

• Record Type: Journal Article
• Authors: Makhrib Al-Seraji, Najm Abdulzahra; Bakheet, Ahmed; Jafar, Zainab Sadiq
• Is Part Of: Journal of interdisciplinary mathematics. Volume 23:Issue 6(2020)
• Page Start: 1187
• Page End: 1195
• Publication Date: 2020-08-17
• Subjects: 11T71; Projective plane -- Complete arc -- Subgeometry; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2020.1747195
• Languages: English
• ISSNs: 0972-0502

Abstract

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.