A new near octagon and the Suzuki tower (Q286124)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new near octagon and the Suzuki tower |
scientific article; zbMATH DE number 6583072
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new near octagon and the Suzuki tower |
scientific article; zbMATH DE number 6583072 |
Statements
A new near octagon and the Suzuki tower (English)
0 references
20 May 2016
0 references
Summary: 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 \((2,4)\).
0 references
near polygon
0 references
generalized polygon
0 references
Suzuki tower
0 references
strongly regular graphs
0 references
commuting involutions
0 references
0 references
