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

(2008) Discrete Mathematics. 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].

Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-533520

- author
- De Bruyn, Bart UGent
- organization
- year
- 2008
- 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
- 2016-12-19 15:45:55

@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.