- Author
- Anurag Bishnoi (UGent) and Bart De Bruyn (UGent)
- 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: http://hdl.handle.net/1854/LU-8510642
- 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}},
}