A characterization of the Grassmann embedding of
H(q), with
q even |
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Authors: | A De Wispelaere J A Thas H Van Maldeghem |
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Institution: | 1. Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281-S22, Ghent, 9000, Belgium
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Abstract: | In this note, we characterize the Grassmann embedding of H(q), q even, as the unique full embedding of H(q) in PG(12, q) for which each ideal line of H(q) is contained in a plane. In particular, we show that no such embedding exists for H(q), with q odd. As a corollary, we can classify all full polarized embeddings of H(q) in PG(12, q) with the property that the lines through any point are contained in a solid; they necessarily are Grassmann embeddings of H(q), with q even. |
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Keywords: | |
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