Adelaide Research & Scholarship
Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/3603
| Citations | ||
| Scopus | Web of Science® | Altmetric |
|---|---|---|
|
?
|
?
|
|
| Type: | Journal article |
| 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 |
| Issue Date: | 2002 |
| ISSN: | 0047-2468 |
| Statement of Responsibility: | Catherine T. Quinn |
| 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 |
| Keywords: | Baer subplane ; conic ; Desarguesian plane |
| Description: | Received 1 September 1999; revised 17 July 2000 |
| Rights: | © 2002 Springer, Part of Springer Science+Business Media |
| DOI: | 10.1007/PL00012531 |
| Appears in Collections: | Pure Mathematics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.