Ghent University Academic Bibliography

Advanced

Points and hyperplanes of the universal embedding space of the dual polar space DW(5,q), q odd

Bruce Cooperstein and Bart De Bruyn UGent (2009) MICHIGAN MATHEMATICAL JOURNAL. 58(1). p.195-212
abstract
It was proved earlier that there are 6 isomorphism classes of hyperplanes in the dual polar space (5,q)$, $ even, which arise from its Grassmann-embedding. In the present paper, we extend these results to the case that $ is odd. Specifically, we determine the orbits of the full automorphism group of (5,q)$, $ odd, on the projective points (or equivalently, the hyperplanes) of the projective space (13,q)$ which affords the universal embedding of (5,q)$.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Grassmann-embedding, (symplectic) dual polar space, GEOMETRIES, ARISE, hyperplane
journal title
MICHIGAN MATHEMATICAL JOURNAL
Michigan Math. J.
volume
58
issue
1
issue title
Special issue dedicated to the memory of Donald G. Higman
pages
195 - 212
Web of Science type
Article
Web of Science id
000266650200007
JCR category
MATHEMATICS
JCR impact factor
0.581 (2009)
JCR rank
151/251 (2009)
JCR quartile
3 (2009)
ISSN
0026-2285
DOI
10.1307/mmj/1242071688
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
879249
handle
http://hdl.handle.net/1854/LU-879249
date created
2010-02-24 15:10:54
date last changed
2014-02-03 14:19:49
@article{879249,
  abstract     = {It was proved earlier that there are 6 isomorphism classes of hyperplanes in the dual polar space (5,q)\$, \$ even, which arise from its Grassmann-embedding. In the present paper, we extend these results to the case that \$ is odd. Specifically, we determine the orbits of the full automorphism group of (5,q)\$, \$ odd, on the projective points (or equivalently, the hyperplanes) of the projective space (13,q)\$ which affords the universal embedding of (5,q)\$.},
  author       = {Cooperstein, Bruce and De Bruyn, Bart},
  issn         = {0026-2285},
  journal      = {MICHIGAN MATHEMATICAL JOURNAL},
  keyword      = {Grassmann-embedding,(symplectic) dual polar space,GEOMETRIES,ARISE,hyperplane},
  language     = {eng},
  number       = {1},
  pages        = {195--212},
  title        = {Points and hyperplanes of the universal embedding space of the dual polar space DW(5,q), q odd},
  url          = {http://dx.doi.org/10.1307/mmj/1242071688},
  volume       = {58},
  year         = {2009},
}

Chicago
Cooperstein, Bruce, and Bart De Bruyn. 2009. “Points and Hyperplanes of the Universal Embedding Space of the Dual Polar Space DW(5,q), q Odd.” Michigan Mathematical Journal 58 (1): 195–212.
APA
Cooperstein, B., & De Bruyn, B. (2009). Points and hyperplanes of the universal embedding space of the dual polar space DW(5,q), q odd. MICHIGAN MATHEMATICAL JOURNAL, 58(1), 195–212.
Vancouver
1.
Cooperstein B, De Bruyn B. Points and hyperplanes of the universal embedding space of the dual polar space DW(5,q), q odd. MICHIGAN MATHEMATICAL JOURNAL. 2009;58(1):195–212.
MLA
Cooperstein, Bruce, and Bart De Bruyn. “Points and Hyperplanes of the Universal Embedding Space of the Dual Polar Space DW(5,q), q Odd.” MICHIGAN MATHEMATICAL JOURNAL 58.1 (2009): 195–212. Print.