Cyclic and rotational hybrid triple systems Original Research Article

A hybrid triple system of order v, denoted HTS(v), is said to be cyclic if it admits an automorphism consisting of a single cycle of length v. A HTS(v) admitting an automorphism consisting of a fixed point and a cycle of length v − 1 is said to be rotational. Necessary and sufficient conditions are given for the existence of a cyclic HTS(v) and a rotational HTS(v).