Splitting of PG(1,27) by Sets, Orbits, and Arcs on the Conic

  • Emad Bakr Abdulkareem Department of Mathematics, College of Science, Mustansrhiya University, Baghdad, Iraq
Keywords: Conic, Finite field, Finite projective space

Abstract

This research aims to give a splitting structure of the projective line over the finite field of order twenty-seven that can be found depending on the factors of the line order. Also, the line was partitioned by orbits using the companion matrix. Finally, we showed the number of projectively inequivalent -arcs on the conic  through the standard frame of the plane PG(1,27)

Published
2021-07-01
How to Cite
Abdulkareem, E. B. (2021). Splitting of PG(1,27) by Sets, Orbits, and Arcs on the Conic. Iraqi Journal of Science, 62(6), 1979-1985. https://doi.org/10.24996/ijs.2021.62.6.23
Section
Mathematics