Groups effect of types 5D and 5Α on the points of projective plane over Fq, q = 29.31

الملخص EN

The purpose of this paper is to find an arc of degree five in PG(2,q), q = 29,31, with stabilizer group of type dihedral group of degree five D5 and arcs of degree six and ten with stabilizer groups of type alternating group of degree five A5 , then study the effect of D5 and A5 on the points of projective plane.

Also, find a pentastigm which has collinear diagonal points