Fissioned Triangular Schemes via the Cross-ratio

✍ Scribed by D. de Caen; E.R. van Dam

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 75 KB
• Volume: 22
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.2000.0467

✦ Synopsis

A construction of association schemes is presented; these are fission schemes of the triangular schemes T (n) where n = q + 1 with q any prime power. The key observation is quite elementary, being that the natural action of P G L(2, q) on the 2-element subsets of the projective line P G(1, q) is generously transitive. In addition, some observations on the intersection parameters and fusion schemes of these association schemes are made.