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Journal of Geometry

, Volume 74, Issue 1–2, pp 123–138 | Cite as

The André/Bruck and Bose representation of conics in Baer subplanes of PG(2,q2)

  • Catherine T. Quinn

Abstract.

The André/Bruck and Bose representation ([1], [5,6]) of PG(2,q2) in PG(4,q) is a tool used by many authors in the proof of recent results. In this paper the André/Bruck and Bose representation of conics in Baer subplanes of PG(2,q2) is determined. It is proved that a non-degenerate conic in a Baer subplane of PG(2,q2) is a normal rational curve of order 2, 3, or 4 in the André/Bruck and Bose representation. Moreover the three possibilities (classes) are examined and we classify the conics in each class.

Key words: Baer subplane, conic, Desarguesian plane. 

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Copyright information

© Birkhäuser Verlag Basel, 2002

Authors and Affiliations

  • Catherine T. Quinn
    • 1
  1. 1.Department of Pure Mathematics, The University of Adelaide, Adelaide 5005, Australia, e-mail: cquinn@maths.adelaide.edu.au AU

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