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{\bf Bart De Bruyn}
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{\bf The Universal Embedding of the Near Polygon ${\Bbb G}_n$}
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In an earlier paper, we showed that the dual polar space
$DH(2n-1,4)$, $n \geq 2$, has a sub near-$2n$-gon ${\Bbb G}_n$ with a
large automorphism group. In this paper, we determine the absolutely
universal embedding of this near polygon. We show that the generating
and embedding ranks of ${\Bbb G}_n$ are equal to ${2n \choose n}$. We
also show that the absolutely universal embedding of ${\Bbb G}_n$ is
the unique full polarized embedding of this near polygon.



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