Simple Non-trivial Designs with an Arbitrary Automorphism Group

✍ Scribed by Ngo Dac Tuan

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 92 KB
• Volume: 100
• Category: Article
• ISSN: 0097-3165
• DOI: 10.1006/jcta.2002.3303

✦ Synopsis

We give a new recursive construction of simple non-trivial designs. Using this construction, we show that given a natural number t and a finite group G; a simple non-trivial t-design admitting an automorphism group isomorphic to G exists. Further, we apply our construction to get a recursive construction of large sets. # 2002 Elsevier Science (USA)