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- Q212130 subject Q9245233.
- Q212130 abstract "In mathematics, and in particular in group theory, a cyclic permutation is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (i.e., mapping to themselves) all other elements of X. For example, the permutation of {1, 2, 3, 4} that sends 1 to 3, 3 to 2, 2 to 4 and 4 to 1 is a cycle, while the permutation that sends 1 to 3, 3 to 1, 2 to 4 and 4 to 2 is not (it separately permutes the pairs {1, 3} and {2, 4}).A cycle in a permutation is a subset of the elements that are permuted in this way. The set S is called the orbit of the cycle. Every permutation on finitely many elements can be decomposed into a collection of cycles on disjoint orbits. In some contexts, a cyclic permutation itself is called a cycle.".
- Q212130 thumbnail 050712_perm_3.png?width=300.
- Q212130 wikiPageExternalLink PermByTrans.shtml.
- Q212130 wikiPageWikiLink Q1064405.
- Q212130 wikiPageWikiLink Q1353233.
- Q212130 wikiPageWikiLink Q161519.
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- Q212130 wikiPageWikiLink Q245446.
- Q212130 wikiPageWikiLink Q288465.
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- Q212130 wikiPageWikiLink Q395.
- Q212130 wikiPageWikiLink Q5198176.
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- Q212130 wikiPageWikiLink Q600590.
- Q212130 wikiPageWikiLink Q734209.
- Q212130 wikiPageWikiLink Q7835325.
- Q212130 wikiPageWikiLink Q7874246.
- Q212130 wikiPageWikiLink Q83478.
- Q212130 wikiPageWikiLink Q849512.
- Q212130 wikiPageWikiLink Q864377.
- Q212130 wikiPageWikiLink Q874429.
- Q212130 wikiPageWikiLink Q9245233.
- Q212130 comment "In mathematics, and in particular in group theory, a cyclic permutation is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (i.e., mapping to themselves) all other elements of X.".
- Q212130 label "Cyclic permutation".
- Q212130 depiction 050712_perm_3.png.