A generalization of the Doyen-Wilson theorem for extended triple systems of all indices Original Research Article

In this paper, it is shown that every extended triple system of order n and index λ > 1 can be embedded in an extended triple system of order v and index λ > 1 if and only if v = n or v ⩾ 2n. This extends results obtained by Hoffman and Rodger when λ = 1 and gives a generalization of the Doyen-Wilson theorem for extended triple systems of all indices.