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The valuations of the near 2n-gon In

Bart De Bruyn (UGent)
(2011) ARS COMBINATORIA. 98. p.321-326
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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.
Keywords
dual polar space, near polygon, valuation, hyperplane

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Citation

Please use this url to cite or link to this publication:

MLA
De Bruyn, Bart. “The Valuations of the near 2n-Gon In.” ARS COMBINATORIA, vol. 98, 2011, pp. 321–26.
APA
De Bruyn, B. (2011). The valuations of the near 2n-gon In. ARS COMBINATORIA, 98, 321–326.
Chicago author-date
De Bruyn, Bart. 2011. “The Valuations of the near 2n-Gon In.” ARS COMBINATORIA 98: 321–26.
Chicago author-date (all authors)
De Bruyn, Bart. 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.
IEEE
[1]
B. De Bruyn, “The valuations of the near 2n-gon In,” ARS COMBINATORIA, vol. 98, pp. 321–326, 2011.
@article{2026939,
  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.}},
  author       = {{De Bruyn, Bart}},
  issn         = {{0381-7032}},
  journal      = {{ARS COMBINATORIA}},
  keywords     = {{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}},
}

Web of Science
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