Geometric hyperplanes of the near hexagon L3 × GQ(2, 2)

Metod Saniga, Péter Lévay, Michel Planat, Petr Pracna

Research output: Contribution to journalArticle

3 Citations (Scopus)


Having in mind their potential quantum physical applications, we classify all geometric hyperplanes of the near hexagon that is a direct product of a line of size three and the generalized quadrangle of order two. There are eight different kinds of them, totalling to 1,023 = 210 - 1 = {pipe}PG(9, 2){pipe}, and they form two distinct families intricately related with the points and lines of the Veldkamp space of the quadrangle in question.

Original languageEnglish
Pages (from-to)93-104
Number of pages12
JournalLetters in Mathematical Physics
Issue number1
Publication statusPublished - Jan 2010


  • Geometric hyperplanes
  • Near hexagons
  • Qubits
  • Veldkamp spaces

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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