New constructions of two slim dense near hexagons |
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Authors: | Binod Kumar Sahoo |
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Affiliation: | Department of Mathematics, National Institute of Technology, Rourkela 769008, Orissa, India |
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Abstract: | We provide a geometrical construction of the unique slim dense near hexagon with parameters (s,t,t2)=(2,5,{1,2}). Using this construction, we construct the rank 3 symplectic dual polar space DSp(6,2) which is the unique slim dense near hexagon with parameters (s,t,t2)=(2,6,2). Both near hexagons are constructed from two copies of the unique generalized quadrangle with parameters (2,2). |
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Keywords: | 51E12 |
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