SOME RESULTS ON THE SMALLEST CARTESIAN GROUP PLANE

Abstract

En küçük Kartezyen grubunun elemanlarıyla koordinatlanan 25. mertebeden bir projektif düzlem π olsun. Bu çalışmada, düzgün dörtgenin seçimine bağlı olarak bazı durumlarda π nin 3. mertebeden herhangi bir projektif alt düzlemi olmadığı gösterilmektedir.

Keywords

• Kartezyen grup
• Projektif Düzlem
• Cebirsel yapı

SOME RESULTS ON THE SMALLEST CARTESIAN GROUP PLANE

Abstract

Let π be the projective plane of order 25 coordinatised by elements of the smallest cartesian group. In this work, in some cases depending on the choice of the regular quadrangle it is shown that there is no any projective subplane of order 3 of π.

Keywords

• Cartesian group
• Algebraic structure
• Projective plane

References

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