ABSTRACT
A finite affine plane pi is said to be a ‘rank k affine plane’ if and only if there is a collineation group G that acts transitively on the affine points of pi and for an affine point 0, the stabilizer subgroup G0 has exactly k affine point orbits one of which is {0}. If G is non-solvable, the plane is said to be a ‘non-solvable rank k affine plane’, otherwise the term used is ‘solvable rank k affine plane.’
