On the Embedding of an Arc Into a Cubic Curves in a Finite Projective Plane of Order Five

Najm A. M. AL-Seraji; Raad I. K. AL-Humaidi

Najm A. M. AL-Seraji Department of Mathematics, College of Science, University of Mustansiriyah, Baghdad, Iraq
Raad I. K. AL-Humaidi Department of Mathematics, College of Science, University of Mustansiriyah, Baghdad, Iraq

Keywords: Stabilizer groups, arcs, cubic curves

Abstract

The main aims of this research is to find the stabilizer groups of a cubic curves over a finite field of order , studying the properties of their groups and then constructing the arcs of degree which are embedding in a cubic curves of even size which are considering as the arcs of degree . Also drawing all these arcs.