====== The Order Of A Permutation ====== ====Definition==== The order of a permutation $\sigma$ is the smallest positive integer $n$ such that $\sigma^n$ equals the identity permutation. ---- ==== Remarks ==== * ---- ==== $\LaTeX$ version ==== %%%%% % DEPENDENCIES % RequiredMacros: %%%%% \begin{definition} The order of a permutation $\sigma$ is the smallest positive integer $n$ such that $\sigma^n$ equals the identity permutation. \end{definition} ---- ==== External links ==== * {{tag>definition}}