Cubic arcs in the projective plane over finite field of order four

Authors

  • Najm A. M. AL-Seraji Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad
  • Hamza L. M. Ajaj Department of Mathematics, College of Science, University of Mstansiriyah, Baghdad

Keywords:

cubic curves, arcs, stabilizer groups

Abstract

The main aims of this research is to find the stabilizer groups of a cubic curves over a finite field of order 4, also studying the properties of their groups, and then constructing all different cubic curves, and known which one of them is complete or not. The arcs of degree 2 which are embedding into a cubic curves of even size have been constructed . Also drawing some of them .

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Published

2022-03-17

How to Cite

AL-Seraji, N., & Ajaj, H. (2022). Cubic arcs in the projective plane over finite field of order four. Journal of Iraqi AL-Khwarizmi, 2(special), 81–98. Retrieved from https://iraqma.net/journal/index.php/JIKhs/article/view/36

Issue

Vol. 2 No. special (2018): special

Section

Articles