Block Designs with gcd(r, λ)=1 Admitting Flag-Transitive Automorphism Groups

摘要

In this paper, we present a classification of 2-designs with gcd(r, lambda) = 1 admitting flag-transitive automorphism groups. If G is a flag-transitive automorphism group of a non-trivial 2-design D with gcd(r, lambda) = 1, then either (D, G) is one of the known examples described in this paper, or D has q = p(d) points with p prime and G is a subgroup of A Gamma L-1(q).

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