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Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) - MaRDI portal

Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) (Q2655354)

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Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\)
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    Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) (English)
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    25 January 2010
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    The authors determine all geometric hyperplanes of the near hexagon \(L_3 \times GQ(2,2)\), where \(|L_3|=3\) and \(GQ(2,2)\) is the generalized quadrangle of order 2 (this is motivated by potential applications in quantum physics). There are 1023 such hyperplanes, which fall into 8 classes.
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    near hexagon
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    geometric hyperplanes
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