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

Metod Saniga, P. Lévay, Michel Planat, Petr Pracna

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume91
Issue number1
DOIs
Publication statusPublished - Jan 2009

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hyperplanes
hexagons
Hexagon
Hyperplane
Generalized Quadrangle
Line
Direct Product
Classify
Distinct
products
Family

Keywords

  • Geometric hyperplanes
  • Near hexagons
  • Qubits
  • Veldkamp spaces

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Geometric hyperplanes of the near hexagon L3 × GQ(2, 2). / Saniga, Metod; Lévay, P.; Planat, Michel; Pracna, Petr.

In: Letters in Mathematical Physics, Vol. 91, No. 1, 01.2009, p. 93-104.

Research output: Contribution to journalArticle

Saniga, Metod ; Lévay, P. ; Planat, Michel ; Pracna, Petr. / Geometric hyperplanes of the near hexagon L3 × GQ(2, 2). In: Letters in Mathematical Physics. 2009 ; Vol. 91, No. 1. pp. 93-104.
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