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The L₃(4) near octagon

Anurag Bishnoi (UGent) and Bart De Bruyn (UGent)
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Abstract
In recent work we constructed two new near octagons, one related to the finite simple group and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group . We derive several geometric properties of this near octagon, and determine its full automorphism group. We also prove that the near octagon is closely related to the second subconstituent of the distance-regular graph on 486 vertices discovered by Soicher (Eur J Combin 14:501-505, 1993).
Keywords
GRAPH, Near polygon, Generalized polygon, Commuting involutions, Distance-regular graph, Finite simple group

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Citation

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

MLA
Bishnoi, Anurag, and Bart De Bruyn. “The L₃(4) Near Octagon.” JOURNAL OF ALGEBRAIC COMBINATORICS 48.1 (2018): 157–178. Print.
APA
Bishnoi, Anurag, & De Bruyn, B. (2018). The L₃(4) near octagon. JOURNAL OF ALGEBRAIC COMBINATORICS, 48(1), 157–178.
Chicago author-date
Bishnoi, Anurag, and Bart De Bruyn. 2018. “The L₃(4) Near Octagon.” Journal of Algebraic Combinatorics 48 (1): 157–178.
Chicago author-date (all authors)
Bishnoi, Anurag, and Bart De Bruyn. 2018. “The L₃(4) Near Octagon.” Journal of Algebraic Combinatorics 48 (1): 157–178.
Vancouver
1.
Bishnoi A, De Bruyn B. The L₃(4) near octagon. JOURNAL OF ALGEBRAIC COMBINATORICS. 2018;48(1):157–78.
IEEE
[1]
A. Bishnoi and B. De Bruyn, “The L₃(4) near octagon,” JOURNAL OF ALGEBRAIC COMBINATORICS, vol. 48, no. 1, pp. 157–178, 2018.
@article{8591137,
  abstract     = {In recent work we constructed two new near octagons, one related to the finite simple group and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group . We derive several geometric properties of this near octagon, and determine its full automorphism group. We also prove that the near octagon is closely related to the second subconstituent of the distance-regular graph on 486 vertices discovered by Soicher (Eur J Combin 14:501-505, 1993).},
  author       = {Bishnoi, Anurag and De Bruyn, Bart},
  issn         = {0925-9899},
  journal      = {JOURNAL OF ALGEBRAIC COMBINATORICS},
  keywords     = {GRAPH,Near polygon,Generalized polygon,Commuting involutions,Distance-regular graph,Finite simple group},
  language     = {eng},
  number       = {1},
  pages        = {157--178},
  title        = {The L₃(4) near octagon},
  url          = {http://dx.doi.org/10.1007/s10801-017-0795-x},
  volume       = {48},
  year         = {2018},
}

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