A Projective Geometry as a Lattice

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.<br>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. <br>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.

Name thesis:degree_name

Master of Science in Mathematics

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Mathematics

Year

1976

Author dc:creator

• Huechteman, E. Duane

Contributors dc:contributor

• Frank Gillespie

• Mathematics

Statement dc:rights

• © E. Duane Huechteman

Repository record dc:identifier

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

OAI identifier oai:identifier

oai:bearworks.missouristate.edu:theses-1864