# A Projective Geometry as a Lattice

## Date of Graduation

Summer 1976

## Degree

Master of Science in Mathematics

## Department

Mathematics

## Committee Chair

Frank Gillespie

## Abstract

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.

## Subject Categories

Mathematics

## Copyright

© E. Duane Huechteman

## Recommended Citation

Huechteman, E. Duane, "A Projective Geometry as a Lattice" (1976). *MSU Graduate Theses*. 863.

https://bearworks.missouristate.edu/theses/863

**Dissertation/Thesis**