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- Cyclic_permutation 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.".
- Cyclic_permutation thumbnail 050712_perm_3.png?width=300.
- Cyclic_permutation wikiPageExternalLink PermByTrans.shtml.
- Cyclic_permutation wikiPageID "449166".
- Cyclic_permutation wikiPageLength "9578".
- Cyclic_permutation wikiPageOutDegree "32".
- Cyclic_permutation wikiPageRevisionID "672068052".
- Cyclic_permutation wikiPageWikiLink Bijection.
- Cyclic_permutation wikiPageWikiLink Category:Permutations.
- Cyclic_permutation wikiPageWikiLink Circular_permutation_in_proteins.
- Cyclic_permutation wikiPageWikiLink Conjugacy_class.
- Cyclic_permutation wikiPageWikiLink Coxeter_group.
- Cyclic_permutation wikiPageWikiLink Cycle_index.
- Cyclic_permutation wikiPageWikiLink Cycle_notation.
- Cyclic_permutation wikiPageWikiLink Cycle_sort.
- Cyclic_permutation wikiPageWikiLink Cycle_type.
- Cyclic_permutation wikiPageWikiLink Cycles_and_fixed_points.
- Cyclic_permutation wikiPageWikiLink Cyclic_permutation_of_integer.
- Cyclic_permutation wikiPageWikiLink Disjoint_sets.
- Cyclic_permutation wikiPageWikiLink Function_composition.
- Cyclic_permutation wikiPageWikiLink Generating_set_of_a_group.
- Cyclic_permutation wikiPageWikiLink Group_(mathematics).
- Cyclic_permutation wikiPageWikiLink Group_action.
- Cyclic_permutation wikiPageWikiLink Group_theory.
- Cyclic_permutation wikiPageWikiLink Identity_permutation.
- Cyclic_permutation wikiPageWikiLink Mathematics.
- Cyclic_permutation wikiPageWikiLink Multiset.
- Cyclic_permutation wikiPageWikiLink Orbit_(group_theory).
- Cyclic_permutation wikiPageWikiLink Parity_of_a_permutation.
- Cyclic_permutation wikiPageWikiLink Permutation.
- Cyclic_permutation wikiPageWikiLink Signature_of_a_permutation.
- Cyclic_permutation wikiPageWikiLink Symmetric_group.
- Cyclic_permutation wikiPageWikiLink Transposable_integer.
- Cyclic_permutation wikiPageWikiLink Tuple.
- Cyclic_permutation wikiPageWikiLink Well-defined.
- Cyclic_permutation wikiPageWikiLink File:050712_perm_2.png.
- Cyclic_permutation wikiPageWikiLink File:050712_perm_3.png.
- Cyclic_permutation wikiPageWikiLink File:Array_of_permutations;_transpositions.svg.
- Cyclic_permutation wikiPageWikiLinkText "Cyclic permutation".
- Cyclic_permutation wikiPageWikiLinkText "Cyclic permutation#Transpositions".
- Cyclic_permutation wikiPageWikiLinkText "Cyclic permutation#adjacent transpositions".
- Cyclic_permutation wikiPageWikiLinkText "circularly permuting".
- Cyclic_permutation wikiPageWikiLinkText "cycle structure".
- Cyclic_permutation wikiPageWikiLinkText "cycle".
- Cyclic_permutation wikiPageWikiLinkText "cycles".
- Cyclic_permutation wikiPageWikiLinkText "cyclic permutation".
- Cyclic_permutation wikiPageWikiLinkText "cyclic structure".
- Cyclic_permutation wikiPageWikiLinkText "cyclic sum".
- Cyclic_permutation wikiPageWikiLinkText "cyclic vector".
- Cyclic_permutation wikiPageWikiLinkText "cyclic".
- Cyclic_permutation wikiPageWikiLinkText "cyclically permuted".
- Cyclic_permutation wikiPageWikiLinkText "n-cycle".
- Cyclic_permutation wikiPageWikiLinkText "permute".
- Cyclic_permutation wikiPageWikiLinkText "permuted cyclically".
- Cyclic_permutation hasPhotoCollection Cyclic_permutation.
- Cyclic_permutation id "2262".
- Cyclic_permutation title "cycle".
- Cyclic_permutation wikiPageUsesTemplate Template:About.
- Cyclic_permutation wikiPageUsesTemplate Template:Citation.
- Cyclic_permutation wikiPageUsesTemplate Template:PlanetMath_attribution.
- Cyclic_permutation wikiPageUsesTemplate Template:Reflist.
- Cyclic_permutation wikiPageUsesTemplate Template:Visible_anchor.
- Cyclic_permutation subject Category:Permutations.
- Cyclic_permutation hypernym Permutation.
- Cyclic_permutation type Article.
- Cyclic_permutation type Article.
- Cyclic_permutation type Combinatoric.
- Cyclic_permutation type Function.
- Cyclic_permutation 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.".
- Cyclic_permutation label "Cyclic permutation".
- Cyclic_permutation sameAs تبديل_دائري.
- Cyclic_permutation sameAs Zyklische_Permutation.
- Cyclic_permutation sameAs Cikla_permuto.
- Cyclic_permutation sameAs m.029smz.
- Cyclic_permutation sameAs Циклична_пермутација.
- Cyclic_permutation sameAs Q212130.
- Cyclic_permutation sameAs Q212130.
- Cyclic_permutation wasDerivedFrom Cyclic_permutation?oldid=672068052.
- Cyclic_permutation depiction 050712_perm_3.png.
- Cyclic_permutation isPrimaryTopicOf Cyclic_permutation.