Twin Steiner triple systems

✍ Scribed by M.J. Grannell; T.S. Griggs; J.P. Murphy

• Book ID: 104113764
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 592 KB
• Volume: 167-168
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/s0012-365x(96)00239-7

✦ Synopsis

A pair of twin Steiner triple systems of order v is two STS(v)'s each of which contains precisely one Pasch configuration which when switched produces the other system. If in addition the twin systems are isomorphic we have 'identical twins'. We construct infinite linear classes of twin STS(v)s and identical twin SYS(v)s for v = 21,27 and 33.