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A new near octagon and the Suzuki tower

Anurag Bishnoi (UGent) and Bart De Bruyn (UGent)
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Organization
Abstract
We construct and study a new near octagon of order (2, 10) which has its full automorphism group isomorphic to the group G(2)(4) : 2 and which contains 416 copies of the Hall-Janko near octagon as full subgeometries. Using this near octagon and its substructures we give geometric constructions of the G(2)(4)-graph and the Suzuki graph, both of which are strongly regular graphs contained in the Suzuki tower. As a subgeometry of this octagon we have discovered another new near octagon, whose order is (2, 4).
Keywords
near polygon, generalized polygon, finite simple group, Suzuki tower, strongly regular graph, commuting involutions, SPORADIC SIMPLE-GROUP, INVOLUTION GEOMETRY, POLYGONS, GRAPHS

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Citation

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

MLA
Bishnoi, Anurag, and Bart De Bruyn. “A New near Octagon and the Suzuki Tower.” ELECTRONIC JOURNAL OF COMBINATORICS, vol. 23, no. 2, 2016.
APA
Bishnoi, A., & De Bruyn, B. (2016). A new near octagon and the Suzuki tower. ELECTRONIC JOURNAL OF COMBINATORICS, 23(2).
Chicago author-date
Bishnoi, Anurag, and Bart De Bruyn. 2016. “A New near Octagon and the Suzuki Tower.” ELECTRONIC JOURNAL OF COMBINATORICS 23 (2).
Chicago author-date (all authors)
Bishnoi, Anurag, and Bart De Bruyn. 2016. “A New near Octagon and the Suzuki Tower.” ELECTRONIC JOURNAL OF COMBINATORICS 23 (2).
Vancouver
1.
Bishnoi A, De Bruyn B. A new near octagon and the Suzuki tower. ELECTRONIC JOURNAL OF COMBINATORICS. 2016;23(2).
IEEE
[1]
A. Bishnoi and B. De Bruyn, “A new near octagon and the Suzuki tower,” ELECTRONIC JOURNAL OF COMBINATORICS, vol. 23, no. 2, 2016.
@article{8510642,
  abstract     = {{We construct and study a new near octagon of order (2, 10) which has its full automorphism group isomorphic to the group G(2)(4) : 2 and which contains 416 copies of the Hall-Janko near octagon as full subgeometries. Using this near octagon and its substructures we give geometric constructions of the G(2)(4)-graph and the Suzuki graph, both of which are strongly regular graphs contained in the Suzuki tower. As a subgeometry of this octagon we have discovered another new near octagon, whose order is (2, 4).}},
  articleno    = {{P2.35}},
  author       = {{Bishnoi, Anurag and De Bruyn, Bart}},
  issn         = {{1077-8926}},
  journal      = {{ELECTRONIC JOURNAL OF COMBINATORICS}},
  keywords     = {{near polygon,generalized polygon,finite simple group,Suzuki tower,strongly regular graph,commuting involutions,SPORADIC SIMPLE-GROUP,INVOLUTION GEOMETRY,POLYGONS,GRAPHS}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{24}},
  title        = {{A new near octagon and the Suzuki tower}},
  volume       = {{23}},
  year         = {{2016}},
}

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