Definition:Support of Permutation

From ProofWiki
Jump to: navigation, search

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