Advanced search
1 file | 264.47 KB Add to list

The hyperplanes of the U (4)(3) near hexagon

(2010) GRAPHS AND COMBINATORICS. 26(5). p.647-671
Author
Organization
Abstract
Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.
Keywords
Hyperplane, Near hexagon, Dual polar space, Universal embedding, Minimal full polarized embedding, DUAL POLAR SPACES, EMBEDDINGS, GEOMETRIES, POLYGONS, U-4(3)

Downloads

  • hypE3.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 264.47 KB

Citation

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

MLA
De Bruyn, Bart, and Sergey Shpectorov. “The Hyperplanes of the U (4)(3) near Hexagon.” GRAPHS AND COMBINATORICS, vol. 26, no. 5, 2010, pp. 647–71, doi:10.1007/s00373-010-0926-9.
APA
De Bruyn, B., & Shpectorov, S. (2010). The hyperplanes of the U (4)(3) near hexagon. GRAPHS AND COMBINATORICS, 26(5), 647–671. https://doi.org/10.1007/s00373-010-0926-9
Chicago author-date
De Bruyn, Bart, and Sergey Shpectorov. 2010. “The Hyperplanes of the U (4)(3) near Hexagon.” GRAPHS AND COMBINATORICS 26 (5): 647–71. https://doi.org/10.1007/s00373-010-0926-9.
Chicago author-date (all authors)
De Bruyn, Bart, and Sergey Shpectorov. 2010. “The Hyperplanes of the U (4)(3) near Hexagon.” GRAPHS AND COMBINATORICS 26 (5): 647–671. doi:10.1007/s00373-010-0926-9.
Vancouver
1.
De Bruyn B, Shpectorov S. The hyperplanes of the U (4)(3) near hexagon. GRAPHS AND COMBINATORICS. 2010;26(5):647–71.
IEEE
[1]
B. De Bruyn and S. Shpectorov, “The hyperplanes of the U (4)(3) near hexagon,” GRAPHS AND COMBINATORICS, vol. 26, no. 5, pp. 647–671, 2010.
@article{1105514,
  abstract     = {{Combining theoretical arguments with calculations in the computer algebra package GAP, we are able to show that there are 27 isomorphism classes of hyperplanes in the near hexagon for the group U (4)(3). We give an explicit construction of a representative of each class and we list several combinatorial properties of such a representative.}},
  author       = {{De Bruyn, Bart and Shpectorov, Sergey}},
  issn         = {{0911-0119}},
  journal      = {{GRAPHS AND COMBINATORICS}},
  keywords     = {{Hyperplane,Near hexagon,Dual polar space,Universal embedding,Minimal full polarized embedding,DUAL POLAR SPACES,EMBEDDINGS,GEOMETRIES,POLYGONS,U-4(3)}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{647--671}},
  title        = {{The hyperplanes of the U (4)(3) near hexagon}},
  url          = {{http://dx.doi.org/10.1007/s00373-010-0926-9}},
  volume       = {{26}},
  year         = {{2010}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: