Definition:Support of Permutation

Definition
Let $S$ be a set.

Let $f$ be a permutation on $S$.

The support of $f$ is the subset of moved elements:
 * $\operatorname {supp} \left({f}\right) = \left\{ {x \in S: f \left({x}\right) \ne x}\right\}$

Also see

 * Definition:Fixed Element of Permutation