Geodesic
The universal embedding of the near polygon \(\mathbb G_n\)
The electronic journal of combinatorics, Tome 14 (2007)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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 
@article{10_37236_957,
     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/}
}
TY  - JOUR
AU  - Bart De Bruyn
TI  - The universal embedding of the near polygon \(\mathbb G_n\)
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/957/
DO  - 10.37236/957
ID  - 10_37236_957
ER  - 
%0 Journal Article
%A Bart De Bruyn
%T The universal embedding of the near polygon \(\mathbb G_n\)
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/957/
%R 10.37236/957
%F 10_37236_957
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

Cité par Sources :