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Classification of 8-dimensional rank two commutative semifields

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
ID Code:38061
Deposited By:Michel Lavrauw
Deposited On:22 Aug 2019 22:26
Last Modified:08 May 2020 16:42

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