### The uniqueness of the SDPS-set of the symplectic dual polar space \$DW(4n-1,q)\$, \$n \geq 2\$

Bart De Bruyn UGent (2009) 30. p.911-922
abstract
SDPS-sets are very nice sets of points in dual polar spaces which themselves carry the structure of dual polar spaces. They were introduced in \cite{DB-V:2} because they gave rise to new valuations and hyperplanes of dual polar spaces. In the present paper, we show that the symplectic dual polar space (4n-1,q)\$, \geq 2\$, has up to isomorphisms a unique SDPS-set.
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
SDPS-set, valuation, dual polar space, hyperplane
journal title
European Journal of Combinatorics
European J. Combin.
volume
30
pages
911 - 922
Web of Science type
Article
Web of Science id
000264631700017
JCR category
MATHEMATICS
JCR impact factor
0.822 (2009)
JCR rank
71/251 (2009)
JCR quartile
2 (2009)
ISSN
0195-6698
language
English
UGent publication?
yes
classification
A1
I don't know the status of the copyright for this publication
id
879147
handle
http://hdl.handle.net/1854/LU-879147
date created
2010-02-24 14:28:14
date last changed
2016-12-19 15:40:48
```@article{879147,
abstract     = {SDPS-sets are very nice sets of points in dual polar spaces which themselves carry the structure of dual polar spaces. They were introduced in {\textbackslash}cite\{DB-V:2\} because they gave rise to new valuations and hyperplanes of dual polar spaces. In the present paper, we show that the symplectic dual polar space (4n-1,q)\\$,  {\textbackslash}geq 2\\$, has up to isomorphisms a unique SDPS-set.},
author       = {De Bruyn, Bart},
issn         = {0195-6698},
journal      = {European Journal of Combinatorics},
keyword      = {SDPS-set,valuation,dual polar space,hyperplane},
language     = {eng},
pages        = {911--922},
title        = {The uniqueness of the SDPS-set of the symplectic dual polar space \\$DW(4n-1,q)\\$, \\$n {\textbackslash}geq 2\\$},
volume       = {30},
year         = {2009},
}

```
Chicago
De Bruyn, Bart. 2009. “The Uniqueness of the SDPS-set of the Symplectic Dual Polar Space \$DW(4n-1,q)\$, \$n \geq 2\$.” European Journal of Combinatorics 30: 911–922.
APA
De Bruyn, B. (2009). The uniqueness of the SDPS-set of the symplectic dual polar space \$DW(4n-1,q)\$, \$n \geq 2\$. European Journal of Combinatorics, 30, 911–922.
Vancouver
1.
De Bruyn B. The uniqueness of the SDPS-set of the symplectic dual polar space \$DW(4n-1,q)\$, \$n \geq 2\$. European Journal of Combinatorics. 2009;30:911–22.
MLA
De Bruyn, Bart. “The Uniqueness of the SDPS-set of the Symplectic Dual Polar Space \$DW(4n-1,q)\$, \$n \geq 2\$.” European Journal of Combinatorics 30 (2009): 911–922. Print.