Reduction for flag-transitive symmetric 2-designs with gcd(k, λ) = p

Abstract

We study symmetric 2-(v, k, λ) designs admitting a flag-transitive point-primitive subgroup G of automorphisms, where gcd(k, λ) = p and p is a prime. In this paper, we show that G is of affine or almost simple type.

arXiv comment17pages