A Classification of the Flag‐Transitive 2‐ ( v , 3 , λ ) Designs With v ≡ 1 , 3 ( mod 6 ) and v ≡ 6 ( mod λ )

ABSTRACT In this paper, we provide a complete classification of the 2‐( v , 3 , λ )designs withv ≡ 1 , 3( mod 6 )andv ≡ 6( mod λ )admitting a flag‐transitive automorphism group non‐isomorphic to a subgroup ofA Γ L 1 ( v ).