On the embedding of an arc into a cubic curves in a finite projective plane of order five

الملخص EN

The main aims of this research is to find the stabilizer groups of a cubic curves over a finite field of order 5, studying the properties of their groups and then constructing the arcs of degree 2 which are embedding in a cubic curves of even size which are considering as the arcs of degree 3.

Also drawing all these arcs.