Definition:Rotation (Permutation Theory)

Definition
Let $\left({a_1, \cdots, a_n}\right)$ be a string over an alphabet $A$.

A rotation is a mapping $r: A^n \to A^n$ given by


 * $\left({a_1, \cdots, a_n}\right) \mapsto \left({a_{\phi \left({1}\right)}, \cdots, a_{\phi \left({n}\right)} }\right)$

where $\phi$ is a permutation on n letters.