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Generalizing a non-existence theorem in finite projective planes

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Abstract

We show that the sets of absolute points of correlations of Desarguesian projective planes do not possess the so-called Pasch (O'Nan) configuration. Previously, this has been known of unitary polarities of planes of square order.

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References

  1. O'Nan, M. E., ‘Automorphisms of unitary block designs’, J. Algebra 20 (1972), 495–511.

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  2. Seidenberg, A., Lectures in Projective Geometry, Van Nostrand, 1962.

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Authors and Affiliations

  1. Department of Mathematics, New York Institute of Technology, Wheatley Road, 11568, Old Westbury, NY, U.S.A.

    Barbu C. Kestenband

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  1. Barbu C. Kestenband
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This research was supported by New York Institute of Technology.

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Kestenband, B.C. Generalizing a non-existence theorem in finite projective planes. Geom Dedicata 44, 123–126 (1992). https://doi.org/10.1007/BF00182943

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  • DOI: https://doi.org/10.1007/BF00182943

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