Question: 2. If A is a set, then a subgroup H of S4 is transitive on A if for each a,b A there exists H such

2. If A is a set, then a subgroup H of S4 is transitive on A if for each a,b A there exists H such that o(a) = b. Show that if A is a nonempty finite set, then there exists a finite cyclic subgroup H of S4 with |H| = |A| that is transitive on A

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