Abstract
We sho that the universal embedding dimensions (over F 2) of the near polygons associated ith Sym(2n) (vieed as subgroup of Sp1(2n - 2, 2)) are the Catalan numbers.
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Blokhuis, A., Brouer, A.E. The Universal Embedding Dimension of the Near Polygon on the 1-Factors of a Complete Graph. Designs, Codes and Cryptography 17, 299–303 (1999). https://doi.org/10.1023/A:1026421028689
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DOI: https://doi.org/10.1023/A:1026421028689