Nonexistence of product-type half-flag-transitive automorphism groups
Let D\mathcal DD be a 222-(v,k,λ)(v,k,\lambda)(v,k,λ) design with replication number rrr and λ≥(r,2λ)2\lambda\geq (r,2\lambda)^2λ≥(r,2λ)2. An automorphism group of D\mathcal DD is half-flag-transitive when it…