Definition:Fixed Element under Permutation/Moved
< Definition:Fixed Element under Permutation(Redirected from Definition:Moved Element under Permutation)
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Definition
Let $S$ be a set.
Let $\pi: S \to S$ be a permutation on $S$.
Let $x \in S$.
$x$ moved by $\pi$ if and only if:
- $\map \pi x \ne x$
Also see
Sources
- 1966: Richard A. Dean: Elements of Abstract Algebra ... (previous) ... (next): $\S 1.6$