In the group $S_n$ consisting of the set of all bijections from $\{1,2,...,n\}$ to $\{1,2,...,n\}$ with a binary operation $◦$ denoting composition of functions. I am asked to find cyclic subgroups of $S_4$ with 2,3, and 4 elements. For a cyclic subgroup with 2 elements I have $\{(1,3),(2,4),(3,1),(4,2)\}$, but am looking for help in finding cyclic subgroups of larger sizes.
2026-03-30 10:39:23.1774867163
How to find cyclic subgroups of $S_4$ with certain numbers of elements
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