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- Permutation_group abstract "In mathematics, a permutation group is a group G whose elements are permutations of a given set M, and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself); the relationship is often written as (G,M). Note that the group of all permutations of a set is the symmetric group; the term permutation group is usually restricted to mean a subgroup of the symmetric group. The symmetric group of n elements is denoted by Sn; if M is any finite or infinite set, then the group of all permutations of M is often written as Sym(M). The application of a permutation group to the elements being permuted is called its group action; it has applications in both the study of symmetries, combinatorics and many other branches of mathematics, physics and chemistry.The degree of a group of permutations of a finite set is the number of elements in the set.".
- Permutation_group wikiPageExternalLink trans.html.
- Permutation_group wikiPageID "24634".
- Permutation_group wikiPageRevisionID "606772893".
- Permutation_group hasPhotoCollection Permutation_group.
- Permutation_group id "p/p072280".
- Permutation_group title "Permutation group".
- Permutation_group subject Category:Finite_groups.
- Permutation_group subject Category:Permutation_groups.
- Permutation_group type Abstraction100002137.
- Permutation_group type FiniteGroups.
- Permutation_group type Group100031264.
- Permutation_group type PermutationGroups.
- Permutation_group comment "In mathematics, a permutation group is a group G whose elements are permutations of a given set M, and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself); the relationship is often written as (G,M). Note that the group of all permutations of a set is the symmetric group; the term permutation group is usually restricted to mean a subgroup of the symmetric group.".
- Permutation_group label "Grupa permutacji".
- Permutation_group label "Grupo de permutação".
- Permutation_group label "Permutatiegroep".
- Permutation_group label "Permutation group".
- Permutation_group label "Permutationsgruppe".
- Permutation_group label "زمرة تبديلات".
- Permutation_group label "置换群".
- Permutation_group sameAs Permutationsgruppe.
- Permutation_group sameAs Groupe_de_permutations.
- Permutation_group sameAs 치환군.
- Permutation_group sameAs Permutatiegroep.
- Permutation_group sameAs Grupa_permutacji.
- Permutation_group sameAs Grupo_de_permutação.
- Permutation_group sameAs m.064wx.
- Permutation_group sameAs Q1412905.
- Permutation_group sameAs Q1412905.
- Permutation_group sameAs Permutation_group.
- Permutation_group wasDerivedFrom Permutation_group?oldid=606772893.
- Permutation_group isPrimaryTopicOf Permutation_group.