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

0341549 - ÚFCH JH 2011 RIV NL eng J - Journal Article
Saniga, M. - Levay, P. - Planat, M. - Pracna, Petr
Geometric Hyperplanes of the Near Hexagon L-3 x GQ(2,2).
Letters in Mathematical Physics. Roč. 91, č. 1 (2010), s. 93-104. ISSN 0377-9017. E-ISSN 1573-0530
Institutional research plan: CEZ:AV0Z40400503
Keywords : near hexagons * geometric hyperplanes * Veldkamp spaces
Subject RIV: CF - Physical ; Theoretical Chemistry
Impact factor: 0.842, year: 2010

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.
Permanent Link: http://hdl.handle.net/11104/0184491