Lavrauw, Michel and Rodgers, Morgan (2019) Classification of 8-dimensional rank two commutative semifields. Advances in Geometry, 19 (1). pp. 57-64. ISSN 1615-715X (Print) 1615-7168 (Online)
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Official URL: http://dx.doi.org/10.1515/advgeom-2017-0064
Abstract
We classify the rank two commutative semifields which are 8-dimensional over their center F-q. This is done using computational methods utilizing the connection to linear sets in PG(2, q(4)). We then apply our methods to complete the classification of rank two commutative semi fields which are 10-dimensional over F-3. The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Semifield; commutative semifield; flocks; linear sets; eggs |
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra Q Science > QA Mathematics > QA440 Geometry. Trigonometry. Topology |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Michel Lavrauw |
| Date Deposited: | 22 Aug 2019 22:26 |
| Last Modified: | 30 Jul 2023 22:17 |
| URI: | https://research.sabanciuniv.edu/id/eprint/38061 |
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Classification of 8-dimensional rank two commutative semifields. (deposited 11 Aug 2018 22:29)
- Classification of 8-dimensional rank two commutative semifields. (deposited 22 Aug 2019 22:26) [Currently Displayed]
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