A group theoretic characterization of classical unitals

  • Authors:
  • Giorgio Donati;Nicola Durante

  • Affiliations:
  • Università di Napoli "Federico II", Naples, Italy 80126;Università di Napoli "Federico II", Naples, Italy 80126

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2012

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Abstract

Let G be the group of projectivities stabilizing a unital $\mathcal{U}$ in PG(2,q 2). In this paper, we prove that $\mathcal{U}$ is a classical unital if and only if there are two points in $\mathcal{U}$ such that the stabilizer of these two points in G has order q 2驴1.