Generalized Quadrangles with an Abelian Singer Group

  • Authors:
  • S. Winter;K. Thas

  • Affiliations:
  • Department of Pure Mathematics and Computer Algebra, Ghent University, Ghent, Belgium B-9000;Department of Pure Mathematics and Computer Algebra, Ghent University, Ghent, Belgium B-9000

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2006

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Abstract

In this note we characterize thick finite generalized quadrangles constructed from a generalized hyperoval as those admitting an abelian Singer group, i.e., an abelian group acting regularly on the points.