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Geometric Hyperplanes of the Near Hexagon L-3 x GQ(2,2)
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SYSNO ASEP 0341549 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Geometric Hyperplanes of the Near Hexagon L-3 x GQ(2,2) Author(s) Saniga, M. (SK)
Levay, P. (HU)
Planat, M. (FR)
Pracna, Petr (UFCH-W)Source Title Letters in Mathematical Physics. - : Springer - ISSN 0377-9017
Roč. 91, č. 1 (2010), s. 93-104Number of pages 12 s. Language eng - English Country NL - Netherlands Keywords near hexagons ; geometric hyperplanes ; Veldkamp spaces Subject RIV CF - Physical ; Theoretical Chemistry CEZ AV0Z40400503 - UFCH-W (2005-2011) UT WOS 000272465900007 DOI 10.1007/s11005-009-0362-z Annotation 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. Workplace J. Heyrovsky Institute of Physical Chemistry Contact Michaela Knapová, michaela.knapova@jh-inst.cas.cz, Tel.: 266 053 196 Year of Publishing 2011
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