Bhaskar Rao designs and the groups of order 12

  title={Bhaskar Rao designs and the groups of order 12},
  author={R. Julian R. Abel and Diana Combe and William Devereux Palmer},
  journal={Australasian J. Combinatorics},
We complete the solution of the existence problem for generalized Bhaskar Rao designs of block size 3 over groups of order 12. In particular we prove that if G is a group of order 12 which is cyclic or dicyclic, then a generalized Bhaskar Rao design, GBRD(v, 3, λ = 12t; G) exists for all v ≥ 3 when t is even and for all v ≥ 4 when t is odd.