Date of Award
In "Bolyai-Lobachevsky Planes with Finite Lines," B. J. Topel Presented seven axioms for a hyperbolic plane and then proved there were no finite hyperbolic planes. This paper begins by reviewing Topel' s article. Graves presented a different set of axioms for a finite hyperbolic plane in "A Finite Bolyai-Lobachevsky Plane." The purpose of this paper is two-fold. First, the problem of developing a new method of constructing a finite hyperbolic plane under Graves' axioms is considered; and second, work done by other authors in constructing finite hyperbolic planes is reviewed.
Hunsucker, John L., "Finite Hyberbolic Planes" (1965). LSU Historical Dissertations and Theses. 8353.