On substructures in cartesian group plane of order 25
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Abstract (EN)
In this study, the projective plane of order 25, which has the algebraic structure of the smallest Cartesian group of order 25 meaning its points and lines are coordinated by this algebraic structure is examined. Examples of Fano planes, which are the completions of any quadrangle in this plane, and a fifth-order Baer subplane are presented. It is shown that the completions of the chosen quadrangle do not form a third-order subplane. Finally, some examples of 3-nets in this plane are provided.
Author
Emin Mengi
Institution
How to Cite
Emin Mengi (Master Thesis). On substructures in cartesian group plane of order 25, 2024, Eskişehir Osmangazi University.
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