In this paper, we present a classification of 2-designs with gcd(r, λ) = 1 admitting flag-transitive automorphism groups. If G is a flag-transitive automorphism group of a non-trivial 2-design D with gcd(r, λ) = 1, then either (D, G) is one of the known examples described in this paper, or D has q = pd points with p prime and G is a subgroup of AΓL1(q).
Block Design with flag-transitive automorphism groups
M. Biliotti;E. Francot;A. Montinaro;P. Rizzo;Y. Zhang;
2022-01-01
Abstract
In this paper, we present a classification of 2-designs with gcd(r, λ) = 1 admitting flag-transitive automorphism groups. If G is a flag-transitive automorphism group of a non-trivial 2-design D with gcd(r, λ) = 1, then either (D, G) is one of the known examples described in this paper, or D has q = pd points with p prime and G is a subgroup of AΓL1(q).File in questo prodotto:
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