Adelaide Research & Scholarship
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https://hdl.handle.net/2440/85545
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| Type: | Journal article |
| Title: | A characterisation of tangent subplanes of PG(2, q³) |
| Other Titles: | A characterisation of tangent subplanes of PG(2, q (3)) |
| Author: | Barwick, S. Jackson, W. |
| Citation: | Designs, Codes and Cryptography, 2014; 71(3):541-545 |
| Publisher: | Springer US |
| Issue Date: | 2014 |
| ISSN: | 0925-1022 1573-7586 |
| Statement of Responsibility: | S. G. Barwick, Wen-Ai Jackson |
| Abstract: | In “Barwick and Jackson (Finite Fields Appl. 18:93–107 2012)”, the authors determine the representation of Order-q-subplanes s and order-q-sublines of PG(2, q³) in the Bruck–Bose representation in PG(6, q). In particular, they showed that an Order-q-subplanes of PG(2, q³) corresponds to a certain ruled surface in PG(6, q). In this article we show that the converse holds, namely that any ruled surface satisfying the required properties corresponds to a tangent Order-q-subplanes of PG(2, q³). |
| Keywords: | Bruck–Bose representation; PG(2, q³); Order q subplanes; 51E20 |
| Rights: | © Springer Science+Business Media New York 2012 |
| DOI: | 10.1007/s10623-012-9754-7 |
| Published version: | http://dx.doi.org/10.1007/s10623-012-9754-7 |
| Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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