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The valuations of the near 2n-gon In

Bart De Bruyn UGent (2011) ARS COMBINATORIA. 98. p.321-326
abstract
The maximal and next-to-maximal subspaces of a nonsingular parabolic quadric Q(2n, 2), n >= 2, which are not contained in a given hyperbolic quadric Q(+)(2n - 1, q) subset of Q(2n, q) define a sub near polygon I-n of the dual polar space DQ(2n, 2). It is known that every valuation of DQ(2n, 2) induces a valuation of I-n. In this paper, we show that also the converse is true: every valuation of I-n is induced by a valuation of DQ(2n, 2). We will also study the structure of the valuations of I-n.
Please use this url to cite or link to this publication:
author
organization
alternative title
The valuations of the near 2n-gon I_n
The valuations of the near 2n-gon I-n
year
type
journalArticle (original)
publication status
published
subject
keyword
dual polar space, near polygon, valuation, hyperplane
journal title
ARS COMBINATORIA
Ars Comb.
volume
98
pages
321 - 326
Web of Science type
Article
Web of Science id
000286533200029
JCR category
MATHEMATICS
JCR impact factor
0.268 (2011)
JCR rank
261/288 (2011)
JCR quartile
4 (2011)
ISSN
0381-7032
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2026939
handle
http://hdl.handle.net/1854/LU-2026939
date created
2012-02-10 12:32:33
date last changed
2012-11-19 13:45:12
@article{2026939,
  abstract     = {The maximal and next-to-maximal subspaces of a nonsingular parabolic quadric Q(2n, 2), n {\textrangle}= 2, which are not contained in a given hyperbolic quadric Q(+)(2n - 1, q) subset of Q(2n, q) define a sub near polygon I-n of the dual polar space DQ(2n, 2). It is known that every valuation of DQ(2n, 2) induces a valuation of I-n. In this paper, we show that also the converse is true: every valuation of I-n is induced by a valuation of DQ(2n, 2). We will also study the structure of the valuations of I-n.},
  author       = {De Bruyn, Bart},
  issn         = {0381-7032},
  journal      = {ARS COMBINATORIA},
  keyword      = {dual polar space,near polygon,valuation,hyperplane},
  language     = {eng},
  pages        = {321--326},
  title        = {The valuations of the near 2n-gon In},
  volume       = {98},
  year         = {2011},
}

Chicago
De Bruyn, Bart. 2011. “The Valuations of the Near 2n-gon In.” Ars Combinatoria 98: 321–326.
APA
De Bruyn, B. (2011). The valuations of the near 2n-gon In. ARS COMBINATORIA, 98, 321–326.
Vancouver
1.
De Bruyn B. The valuations of the near 2n-gon In. ARS COMBINATORIA. 2011;98:321–6.
MLA
De Bruyn, Bart. “The Valuations of the Near 2n-gon In.” ARS COMBINATORIA 98 (2011): 321–326. Print.