Cyclic and Rotational Hybrid Triple Systems
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).
Gardner, Robert; Micale, Biagio; Pennisi, Mario; and Zijlstra, Rebecca. 1997. Cyclic and Rotational Hybrid Triple Systems. Discrete Mathematics. Vol.171(1-3). 121-139. https://doi.org/10.1016/S0012-365X(96)00036-2 ISSN: 0012-365X