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A note on near hexagons with lines of size 3

Bart De Bruyn UGent (2010) ARS COMBINATORIA. 96. p.263-273
abstract
We classify all finite near hexagons which satisfy the following properties for a certain t(2) is an element of {1, 2, 4}: (i) every line is incident with precisely three points; (ii) for every point x, there exists a point y at distance 3 from x; (iii) every two points at distance 2 from each other have either 1 or t(2) + 1 common neighbours; (iv) every quad is big. As a corollary, we obtain a classification of all finite near hexagons satisfying (i), (ii) and (iii) with t(2) equal to 4.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
generalized quadrangle, near hexagon, POLYGONS
journal title
ARS COMBINATORIA
ARS Comb.
volume
96
pages
263 - 273
Web of Science type
Article
Web of Science id
000279160900022
JCR category
MATHEMATICS
JCR impact factor
0.441 (2010)
JCR rank
205/276 (2010)
JCR quartile
3 (2010)
ISSN
0381-7032
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1105434
handle
http://hdl.handle.net/1854/LU-1105434
alternative location
http://cage.ugent.be/geometry/Files/266/slim3.pdf
date created
2011-01-20 10:06:17
date last changed
2011-02-14 15:20:52
@article{1105434,
  abstract     = {We classify all finite near hexagons which satisfy the following properties for a certain t(2) is an element of \{1, 2, 4\}: (i) every line is incident with precisely three points; (ii) for every point x, there exists a point y at distance 3 from x; (iii) every two points at distance 2 from each other have either 1 or t(2) + 1 common neighbours; (iv) every quad is big. As a corollary, we obtain a classification of all finite near hexagons satisfying (i), (ii) and (iii) with t(2) equal to 4.},
  author       = {De Bruyn, Bart},
  issn         = {0381-7032},
  journal      = {ARS COMBINATORIA},
  keyword      = {generalized quadrangle,near hexagon,POLYGONS},
  language     = {eng},
  pages        = {263--273},
  title        = {A note on near hexagons with lines of size 3},
  url          = {http://cage.ugent.be/geometry/Files/266/slim3.pdf},
  volume       = {96},
  year         = {2010},
}

Chicago
De Bruyn, Bart. 2010. “A Note on Near Hexagons with Lines of Size 3.” Ars Combinatoria 96: 263–273.
APA
De Bruyn, B. (2010). A note on near hexagons with lines of size 3. ARS COMBINATORIA, 96, 263–273.
Vancouver
1.
De Bruyn B. A note on near hexagons with lines of size 3. ARS COMBINATORIA. 2010;96:263–73.
MLA
De Bruyn, Bart. “A Note on Near Hexagons with Lines of Size 3.” ARS COMBINATORIA 96 (2010): 263–273. Print.