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Commutative semifields of rank 2 over their middle nucleus
Ball, Simeon Michael; Lavrauw, Michel
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. COMBGRAF - Combinatòria, Teoria de Grafs i Aplicacions
This article is about finite commutative semifields that are of rank 2 over their middle nucleus, the largest subset of elements that is a finite field. These semifields have a direct correspondence to certain flocks of the quadratic cone in PG(3, q) and to certain ovoids of the parabolic space Q(4, q). We shall consider these links, the known examples and non-existence results.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
Finite fields
Àlgebra abstracta
Attribution-NonCommercial-NoDerivs 3.0 Spain

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