Category:Definitions/Fixed Elements under Permutations

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This category contains definitions related to Fixed Elements under Permutations.
Related results can be found in Category:Fixed Elements under Permutations.


Let $S$ be a set.

Let $\pi: S \to S$ be a permutation on $S$.

Let $x \in S$.


$x$ is fixed under $\pi$ if and only if:

$\map \pi x = x$