Cyclic Permutation/Examples/Non-Cyclic Element of S4

Example of Non-Cyclic Permutation
Not all permutations are cycles.

Here is an example (written in two-row notation) of a permutation of the Symmetric Group on 4 Letters which is not a cycle:


 * $\begin{pmatrix}

1 & 2 & 3 & 4 \\ 2 & 1 & 4 & 3 \end{pmatrix}$