A Projective Geometry as a Lattice
Date of Graduation
Master of Science in Mathematics
PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.
PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship between projective and affine geometry is investigated. Finally, the projective geometry 7₃ is shown to be a lattice.
SUMMARY: Showing that a projective geometry is a lattice was accomplished in two ways. It was illustrated that with the proper definitions a projective geometry can be shown to be a lattice directly or it can be shown to be a group which is then shown to be a lattice.
© E. Duane Huechteman
Huechteman, E. Duane, "A Projective Geometry as a Lattice" (1976). MSU Graduate Theses. 863.