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Commutative Semifields of Rank 2 Over Their Middle Nucleus

  • Simeon Ball
  • Michel Lavrauw

Abstract

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.

Keywords

Projective Plane Finite Field Internal Point Generalize Quadrangle Translation Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Simeon Ball
    • 1
  • Michel Lavrauw
    • 2
  1. 1.Queen MaryUniversity of LondonLondonUK
  2. 2.Eindhoven University of TechnologyEindhovenThe Netherlands

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