Arithmetic Progression Klein Geometry Invariant Cross Product Group
University Press "Paisii Hilendarski", Plovdiv
We consider quadrate matrices with elements of the first row
members of an arithmetic progression and of the second row members of other
arithmetic progression. We prove the set of these matrices is a group. Then we give
a parameterization of this group and investigate about some invariants of the
corresponding geometry. We find an invariant of any two points and an invariant
of any sixth points. All calculations are made by Maple.