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Geometric Hyperplanes of the Near Hexagon L-3 x GQ(2,2)

Result description

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 = 2(10) - 1 = |PG(9, 2)|, and they form two distinct families intricately related with the points and lines of the Veldkamp space of the quadrangle in question.

Keywords

near hexagonsgeometric hyperplanesVeldkamp spaces

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geometric Hyperplanes of the Near Hexagon L-3 x GQ(2,2)

  • Original language description

    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 = 2(10) - 1 = |PG(9, 2)|, and they form two distinct families intricately related with the points and lines of the Veldkamp space of the quadrangle in question.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    CF - Physical chemistry and theoretical chemistry

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Letters in Mathematical Physics

  • ISSN

    0377-9017

  • e-ISSN

  • Volume of the periodical

    91

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    12

  • Pages from-to

  • UT code for WoS article

    000272465900007

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

CF - Physical chemistry and theoretical chemistry

Year of implementation

2010