Adelaide Research & Scholarship
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https://hdl.handle.net/2440/132816
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| Type: | Journal article |
| Title: | On abstract ovals with Pascalian secant lines |
| Author: | Bamberg, J. Harris, T. Penttila, T. |
| Citation: | Journal of Group Theory, 2018; 21(6):1051-1064 |
| Publisher: | De Gruyter |
| Issue Date: | 2018 |
| ISSN: | 1433-5883 1435-4446 |
| Statement of Responsibility: | John Bamberg, Tim Harris and Tim Penttila |
| Abstract: | We prove that an abstract oval is an abstract conic if and only if all of its involutions are regular and all of its secant lines are Pascalian. In doing so, we provide a new characterisation of the rank 1 projective general linear groups over arbitrary fields. |
| Rights: | © de Gruyter 2018 |
| DOI: | 10.1515/jgth-2018-0028 |
| Grant ID: | http://purl.org/au-research/grants/arc/FT120100036 |
| Published version: | http://dx.doi.org/10.1515/jgth-2018-0028 |
| Appears in Collections: | Mathematical Sciences publications |
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