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|Title:||The André/Bruck and Bose representation of conics in Baer subplanes of PG(2,q2)|
|Author:||Quinn, Catherine T.|
|Citation:||Journal of Geometry, 2002; 74(1-2):123-138|
|Publisher:||Birkhauser Verlag Ag|
|Catherine T. Quinn|
|Abstract:||The André/Bruck and Bose representation (, [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|
|Keywords:||Baer subplane ; conic ; Desarguesian plane|
|Description:||Received 1 September 1999; revised 17 July 2000|
|Rights:||© 2002 Springer, Part of Springer Science+Business Media|
|Appears in Collections:||Pure Mathematics publications|
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