The André/Bruck and Bose representation of conics in Baer subplanes of PG(2,q2)
Date
2002
Authors
Quinn, Catherine T.
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Journal article
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Journal of Geometry, 2002; 74(1-2):123-138
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Catherine T. Quinn
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Abstract
The André/Bruck and Bose representation ([1], [5,6]) of PG(2,q 2) 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,q 2) is determined. It is proved that a non-degenerate conic in a Baer subplane of PG(2,q 2) 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
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Received 1 September 1999; revised 17 July 2000
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© 2002 Springer, Part of Springer Science+Business Media