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Polarized non-abelian representations of slim near-polar spaces

Bart De Bruyn UGent and Binod Kumar Sahoo (2016) JOURNAL OF ALGEBRAIC COMBINATORICS. 44(1). p.59-79
abstract
In (Bull Belg Math Soc Simon Stevin 4:299-316, 1997), Shult introduced a class of parapolar spaces, the so-called near-polar spaces. We introduce here the notion of a polarized non-abelian representation of a slim near-polar space, that is, a near-polar space in which every line is incident with precisely three points. For such a polarized non-abelian representation, we study the structure of the corresponding representation group, enabling us to generalize several of the results obtained in Sahoo and Sastry (J Algebraic Comb 29:195-213, 2009) for non-abelian representations of slim dense near hexagons. We show that with every polarized non-abelian representation of a slim near-polar space, there is an associated polarized projective embedding.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Near-polar space, Universal/Polarized non-abelian representation, Universal projective embedding, Minimal polarized embedding, Extraspecial 2-group, Combinatorial group theory, DENSE, GEOMETRIES, EMBEDDINGS, ORDER
journal title
JOURNAL OF ALGEBRAIC COMBINATORICS
J. Algebr. Comb.
volume
44
issue
1
pages
59 - 79
Web of Science type
Article
Web of Science id
000378890200004
JCR category
MATHEMATICS
JCR impact factor
0.779 (2016)
JCR rank
112/310 (2016)
JCR quartile
2 (2016)
ISSN
0925-9899
1572-9192
DOI
10.1007/s10801-015-0653-7
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
8510636
handle
http://hdl.handle.net/1854/LU-8510636
date created
2017-02-21 13:02:06
date last changed
2017-09-02 22:30:16
@article{8510636,
  abstract     = {In (Bull Belg Math Soc Simon Stevin 4:299-316, 1997), Shult introduced a class of parapolar spaces, the so-called near-polar spaces. We introduce here the notion of a polarized non-abelian representation of a slim near-polar space, that is, a near-polar space in which every line is incident with precisely three points. For such a polarized non-abelian representation, we study the structure of the corresponding representation group, enabling us to generalize several of the results obtained in Sahoo and Sastry (J Algebraic Comb 29:195-213, 2009) for non-abelian representations of slim dense near hexagons. We show that with every polarized non-abelian representation of a slim near-polar space, there is an associated polarized projective embedding.},
  author       = {De Bruyn, Bart and Sahoo, Binod Kumar},
  issn         = {0925-9899},
  journal      = {JOURNAL OF ALGEBRAIC COMBINATORICS},
  keyword      = {Near-polar space,Universal/Polarized non-abelian representation,Universal projective embedding,Minimal polarized embedding,Extraspecial 2-group,Combinatorial group theory,DENSE,GEOMETRIES,EMBEDDINGS,ORDER},
  language     = {eng},
  number       = {1},
  pages        = {59--79},
  title        = {Polarized non-abelian representations of slim near-polar spaces},
  url          = {http://dx.doi.org/10.1007/s10801-015-0653-7},
  volume       = {44},
  year         = {2016},
}

Chicago
De Bruyn, Bart, and Binod Kumar Sahoo. 2016. “Polarized Non-abelian Representations of Slim Near-polar Spaces.” Journal of Algebraic Combinatorics 44 (1): 59–79.
APA
De Bruyn, B., & Sahoo, B. K. (2016). Polarized non-abelian representations of slim near-polar spaces. JOURNAL OF ALGEBRAIC COMBINATORICS, 44(1), 59–79.
Vancouver
1.
De Bruyn B, Sahoo BK. Polarized non-abelian representations of slim near-polar spaces. JOURNAL OF ALGEBRAIC COMBINATORICS. 2016;44(1):59–79.
MLA
De Bruyn, Bart, and Binod Kumar Sahoo. “Polarized Non-abelian Representations of Slim Near-polar Spaces.” JOURNAL OF ALGEBRAIC COMBINATORICS 44.1 (2016): 59–79. Print.