Geodesic
The universal embedding of the near polygon \(\mathbb G_n\)
The electronic journal of combinatorics, Tome 14 (2007)

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Zbl EuDML
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.
DOI : 10.37236/957
Classification : 51A50, 05B25, 51A45, 51E12
Mots-clés : near polygon, universal embedding 
Bart De Bruyn. The universal embedding of the near polygon \(\mathbb G_n\). The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/957
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     author = {Bart De Bruyn},
     title = {The universal embedding of the near polygon \(\mathbb {G_n\)}},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/957},
     zbl = {1135.51007},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/957/}
}
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