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A proof of the theorem of Pappus in finite Desarguesian affine planes

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Abstract

Without using the representation theorem and a theorem of J.H.M. WEDDERBURN we show that every finite Desarguesian affine plane is Pappian.

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References

  1. HASSE, H.: Number Theory. Springer, Berlin Heidelberg New York, 1980.

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  2. KARZEL, H., K. SÖRENSEN, D. WINDELBERG: Einführung in die Geometrie. Vandenhoeck & Ruprecht, Göttingen, 1973.

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  3. WEDDERBURN, J.H.M.: A theorem on finite algebras. Trans. Amer. Math. Soc.6 (1905), 349–352.

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  4. WITT, E.: Über die Kommutativität endlicher Schiefkörper. Abh. Math. Sem. Univ. Hamburg8 (1931), 413.

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Tecklenburg, H. A proof of the theorem of Pappus in finite Desarguesian affine planes. J Geom 30, 172–181 (1987). https://doi.org/10.1007/BF01227815

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  • DOI: https://doi.org/10.1007/BF01227815

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