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arXiv · 0908.3363

Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2)

Metod Saniga·Peter Levay·Michel Planat·Petr Pracna
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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 1023 = 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.

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Metod Saniga, Peter Levay, Michel Planat, Petr Pracna. 2009-09-01. Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2). https://doi.org/10.1007/s11005-009-0362-z

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