Year: 2018
Type: article
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 semifields which are 10-dimensional over 𝔽3. The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs.
Source: Advances in Geometry
Authors: Michel Lavrauw, Morgan Rodgers
Institutions: University of Padua, Sabancı Üniversitesi
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2462882289