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Vertex opposition in spherical buildings

(2013) DESIGNS CODES AND CRYPTOGRAPHY. 68(1-3). p.285-318
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Abstract
We study to which extent all pairs of opposite vertices of self-opposite type determine a given building. We provide complete answers in the case of buildings related to projective spaces, to polar spaces and the exceptional buildings, but for the latter we restrict to the vertices whose Grassmannian defines a parapolar space of point diameter 3. Some results about non-self opposite types for buildings of types , (m odd), and are also provided.
Keywords
Polar spaces, Opposition relation in spherical buildings, Parapolar spaces, Hexagonic geometries, GEOMETRIES

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MLA
Kasikova, Anna, and Hendrik Van Maldeghem. “Vertex Opposition in Spherical Buildings.” DESIGNS CODES AND CRYPTOGRAPHY, vol. 68, no. 1–3, 2013, pp. 285–318, doi:10.1007/s10623-012-9643-0.
APA
Kasikova, A., & Van Maldeghem, H. (2013). Vertex opposition in spherical buildings. DESIGNS CODES AND CRYPTOGRAPHY, 68(1–3), 285–318. https://doi.org/10.1007/s10623-012-9643-0
Chicago author-date
Kasikova, Anna, and Hendrik Van Maldeghem. 2013. “Vertex Opposition in Spherical Buildings.” DESIGNS CODES AND CRYPTOGRAPHY 68 (1–3): 285–318. https://doi.org/10.1007/s10623-012-9643-0.
Chicago author-date (all authors)
Kasikova, Anna, and Hendrik Van Maldeghem. 2013. “Vertex Opposition in Spherical Buildings.” DESIGNS CODES AND CRYPTOGRAPHY 68 (1–3): 285–318. doi:10.1007/s10623-012-9643-0.
Vancouver
1.
Kasikova A, Van Maldeghem H. Vertex opposition in spherical buildings. DESIGNS CODES AND CRYPTOGRAPHY. 2013;68(1–3):285–318.
IEEE
[1]
A. Kasikova and H. Van Maldeghem, “Vertex opposition in spherical buildings,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 68, no. 1–3, pp. 285–318, 2013.
@article{6834529,
  abstract     = {{We study to which extent all pairs of opposite vertices of self-opposite type determine a given building. We provide complete answers in the case of buildings related to projective spaces, to polar spaces and the exceptional buildings, but for the latter we restrict to the vertices whose Grassmannian defines a parapolar space of point diameter 3. Some results about non-self opposite types for buildings of types , (m odd), and are also provided.}},
  author       = {{Kasikova, Anna and Van Maldeghem, Hendrik}},
  issn         = {{0925-1022}},
  journal      = {{DESIGNS CODES AND CRYPTOGRAPHY}},
  keywords     = {{Polar spaces,Opposition relation in spherical buildings,Parapolar spaces,Hexagonic geometries,GEOMETRIES}},
  language     = {{eng}},
  number       = {{1-3}},
  pages        = {{285--318}},
  title        = {{Vertex opposition in spherical buildings}},
  url          = {{http://doi.org/10.1007/s10623-012-9643-0}},
  volume       = {{68}},
  year         = {{2013}},
}

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