### The valuations of the near 2n-gon In

(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:
http://hdl.handle.net/1854/LU-2026939

- author
- Bart De Bruyn UGent
- organization
- alternative title
- The valuations of the near 2n-gon I_n
- The valuations of the near 2n-gon I-n
- year
- 2011
- 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.