Abstract
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).
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