Thesis Title

A Projective Geometry as a Lattice

Date of Graduation

Summer 1976

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Frank Gillespie

Subject Categories

Mathematics

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.

Copyright

© E. Duane Huechteman

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Dissertation/Thesis

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