Projective Geometry Structure of zn* (A Case of n=pqrs)

Felix Komu, Benard M. Kivunge and Fredrick O. Nyamwala
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Felix Komu: Moi University
Benard M. Kivunge: Kenyatta University
Fredrick O. Nyamwala: Moi University

International Journal of Research and Scientific Innovation, 2025, vol. 12, issue 2, 356-363

Abstract: The concept of projective geometry has been studied by a number of mathematicians, though the initial focus was on Euclidean and non Euclidean geometries on the relationship between lines and points on a 3D projective space. This paper will focus on the dempotent elements in Z∗, for n=pqrs, specifically focusing on the triples, fano planes and order 15 projective structures. We shall count the number of the triples, fano planes and order 15 projective structures, and establish the relationship between them. It extends the results of projective geometry structure of Zn*,n=pqr.

Date: 2025
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