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2022•New Trends in Mathematical ScienceOpen access

On Embedding the Projective Plane PG(2,4) to the Projective Space P(4,4)

A. Bayar, Ziya Akça, S. Ekmekçi

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Abstract

In this study, all embeddings that map each line of projective plane order 4 to an oval of Projective Space of dimensional 4 will be investigated and it was shown that the image of these maps generate projective spaces P G(4, 4).

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What this paper is about

In this study, all embeddings that map each line of projective plane order 4 to an oval of Projective Space of dimensional 4 will be investigated and it was shown that the image of these maps generate projective spaces P G(4, 4).

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Available abstract

In this study, all embeddings that map each line of projective plane order 4 to an oval of Projective Space of dimensional 4 will be investigated and it was shown that the image of these maps generate projective spaces P G(4, 4).

Key concepts: Projective space, Projective plane, Collineation, Projective test, Real projective plane, Pencil (optics), Embedding, Blocking set

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