Adelaide Research & Scholarship
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https://hdl.handle.net/2440/3606
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| Type: | Journal article |
| Title: | Unitals which meet Baer subplanes in 1 modulo q points |
| Author: | Barwick, S. O'Keefe, C. Storme, L. |
| Citation: | Journal of Geometry, 2000; 68(1-2):16-22 |
| Publisher: | Birkhauser Verlag Ag |
| Issue Date: | 2000 |
| ISSN: | 0047-2468 1420-8997 |
| Abstract: | We prove that a parabolic unital U in a translation plane π of order q2 with kernel containing GF(q) is a Buekenhout-Metz unital if and only if certain Baer subplanes containing the translation line of π meet U in 1 modulo q points. As a corollary we show that a unital U in PG(2, g2) is classical if and only if it meets each Baer subplane of PG(2,q2) in 1 modulo q points. © Birkhäuser Verlag, 2000. |
| DOI: | 10.1007/BF01221057 |
| Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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