Definition:Rotation (Permutation Theory)

Definition
Let $(a_{1},\cdots,a_{n})$ be a string over an alphabet $A$.

A rotation is a function $r : A^{n} \to A^{n}$ given by

$(a_{1},\cdots,a_{n}) \mapsto (a_{\phi(1)},\cdots,a_{\phi(n)})$ where $\phi$ is a permutation on n letters.