Simple non-trivial designs with an arbitrary automorphism group

摘要

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. (C) 2002 Elsevier Science (USA). [References: 9]