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

Bart De Bruyn UGent and Sergey Shpectorov (2010) GRAPHS AND COMBINATORICS. 26(5). p.647-671
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Hyperplane, Near hexagon, Dual polar space, Universal embedding, Minimal full polarized embedding, DUAL POLAR SPACES, EMBEDDINGS, GEOMETRIES, POLYGONS, U-4(3)
journal title
GRAPHS AND COMBINATORICS
Graphs Comb.
volume
26
issue
5
pages
647 - 671
Web of Science type
Article
Web of Science id
000281247600004
JCR category
MATHEMATICS
JCR impact factor
0.242 (2010)
JCR rank
257/276 (2010)
JCR quartile
4 (2010)
ISSN
0911-0119
DOI
10.1007/s00373-010-0926-9
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1105514
handle
http://hdl.handle.net/1854/LU-1105514
date created
2011-01-20 10:21:19
date last changed
2011-02-22 09:11:09
@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},
  keyword      = {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},
}

Chicago
De Bruyn, Bart, and Sergey Shpectorov. 2010. “The Hyperplanes of the U (4)(3) Near Hexagon.” Graphs and Combinatorics 26 (5): 647–671.
APA
De Bruyn, B., & Shpectorov, S. (2010). The hyperplanes of the U (4)(3) near hexagon. GRAPHS AND COMBINATORICS, 26(5), 647–671.
Vancouver
1.
De Bruyn B, Shpectorov S. The hyperplanes of the U (4)(3) near hexagon. GRAPHS AND COMBINATORICS. 2010;26(5):647–71.
MLA
De Bruyn, Bart, and Sergey Shpectorov. “The Hyperplanes of the U (4)(3) Near Hexagon.” GRAPHS AND COMBINATORICS 26.5 (2010): 647–671. Print.