E-resources
PDF-
Lavrauw, Michel; Rodgers, Morgan
Advances in geometry, 01/2019, Volume: 19, Issue: 1Journal Article
We classify the rank two commutative semifields which are 8-dimensional over their center 𝔽 . This is done using computational methods utilizing the connection to linear sets in PG(2, ). We then apply our methods to complete the classification of rank two commutative semifields which are 10-dimensional over 𝔽 . The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs.
