### A recursive construction for the dual polar spaces DQ(2n, 2)

Bart De Bruyn UGent (2008) 308(23). p.5504-5515
abstract
New combinatorial constructions for the near hexagons I-3 and DQ(6, 2) in terms of ordered pairs of collinear points of the generalized quadrangle W(2) were given by Sahoo [B.K. Sahoo, New constructions of two slim dense near hexagons, Discrete Math. 308 (10) (2007) 2018-2024]. Replacing, W(2) by an arbitrary dual polar space of type DQ(2n, 2), n >= 2, we obtain a generalization of these constructions. By using a construction alluded to in [B. De Bruyn, A new geometrical construction for the near hexagon with parameters (s, t, T-2) = (2, 5, {1, 2}), J. Geom. 78 (2003) 50-58.] we show that these generalized constructions give rise to near 2n-gons which are isomorphic to I-n and DQ(2n, 2). In this way, we obtain a recursive construction for the dual polar spaces DQ(2n, 2), n >= 2, different from the one given in [B.N. Cooperstein, E.E. Shult, Combinatorial construction of some near polygons, J. Combin. Theory Ser. A 78 (1997) 120-140].
author
organization
year
type
journalArticle (original)
publication status
published
subject
journal title
Discrete Mathematics
Discret. Math.
volume
308
issue
23
pages
5504 - 5515
Web of Science type
Article
Web of Science id
000260737200017
JCR category
MATHEMATICS
JCR impact factor
0.502 (2008)
JCR rank
131/214 (2008)
JCR quartile
3 (2008)
ISSN
0012-365X
DOI
10.1016/j.disc.2007.09.057
language
English
UGent publication?
yes
classification
A1
id
533520
handle
http://hdl.handle.net/1854/LU-533520
date created
2009-03-29 15:45:26
date last changed
2009-04-02 11:38:31
```@article{533520,
abstract     = {New combinatorial constructions for the near hexagons I-3 and DQ(6, 2) in terms of ordered pairs of collinear points of the generalized quadrangle W(2) were given by Sahoo [B.K. Sahoo, New constructions of two slim dense near hexagons, Discrete Math. 308 (10) (2007) 2018-2024]. Replacing, W(2) by an arbitrary dual polar space of type DQ(2n, 2), n {\textrangle}= 2, we obtain a generalization of these constructions. By using a construction alluded to in [B. De Bruyn, A new geometrical construction for the near hexagon with parameters (s, t, T-2) = (2, 5, \{1, 2\}), J. Geom. 78 (2003) 50-58.] we show that these generalized constructions give rise to near 2n-gons which are isomorphic to I-n and DQ(2n, 2). In this way, we obtain a recursive construction for the dual polar spaces DQ(2n, 2), n {\textrangle}= 2, different from the one given in [B.N. Cooperstein, E.E. Shult, Combinatorial construction of some near polygons, J. Combin. Theory Ser. A 78 (1997) 120-140].},
author       = {De Bruyn, Bart},
issn         = {0012-365X},
journal      = {Discrete Mathematics},
language     = {eng},
number       = {23},
pages        = {5504--5515},
title        = {A recursive construction for the dual polar spaces DQ(2n, 2)},
url          = {http://dx.doi.org/10.1016/j.disc.2007.09.057},
volume       = {308},
year         = {2008},
}

```
Chicago
De Bruyn, Bart. 2008. “A Recursive Construction for the Dual Polar Spaces DQ(2n, 2).” Discrete Mathematics 308 (23): 5504–5515.
APA
De Bruyn, B. (2008). A recursive construction for the dual polar spaces DQ(2n, 2). Discrete Mathematics, 308(23), 5504–5515.
Vancouver
1.
De Bruyn B. A recursive construction for the dual polar spaces DQ(2n, 2). Discrete Mathematics. 2008;308(23):5504–15.
MLA
De Bruyn, Bart. “A Recursive Construction for the Dual Polar Spaces DQ(2n, 2).” Discrete Mathematics 308.23 (2008): 5504–5515. Print.