\begin{definition}[Definition:Rotation (Permutation Theory)]
Let $\tuple {a_1, \ldots, a_n}$ be a string over an alphabet $A$.
A '''rotation''' is a mapping $r: A^n \to A^n$ given by:
:$\tuple {a_1, \ldots, a_n} \mapsto \tuple {a_{\map \phi 1}, \cdots, a_{\map \phi n} }$
where $\phi$ is a permutation on n letters.
Category:Definitions/Permutation Theory
\end{definition}