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- Cayley's_theorem abstract "In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group acting on G. This can be understood as an example of the group action of G on the elements of G.A permutation of a set G is any bijective function taking G onto G; and the set of all such functions forms a group under function composition, called the symmetric group on G, and written as Sym(G).Cayley's theorem puts all groups on the same footing, by considering any group (including infinite groups such as (R,+)) as a permutation group of some underlying set. Thus, theorems which are true for permutation groups are true for groups in general.".
- Cayley's_theorem wikiPageID "105967".
- Cayley's_theorem wikiPageRevisionID "600607584".
- Cayley's_theorem hasPhotoCollection Cayley's_theorem.
- Cayley's_theorem subject Category:Articles_containing_proofs.
- Cayley's_theorem subject Category:Permutations.
- Cayley's_theorem subject Category:Theorems_in_group_theory.
- Cayley's_theorem type Abstraction100002137.
- Cayley's_theorem type Change107296428.
- Cayley's_theorem type Communication100033020.
- Cayley's_theorem type Event100029378.
- Cayley's_theorem type Happening107283608.
- Cayley's_theorem type Message106598915.
- Cayley's_theorem type Permutations.
- Cayley's_theorem type Proposition106750804.
- Cayley's_theorem type PsychologicalFeature100023100.
- Cayley's_theorem type Statement106722453.
- Cayley's_theorem type Substitution107443761.
- Cayley's_theorem type Theorem106752293.
- Cayley's_theorem type TheoremsInGroupTheory.
- Cayley's_theorem type Variation107337390.
- Cayley's_theorem type YagoPermanentlyLocatedEntity.
- Cayley's_theorem comment "In group theory, Cayley's theorem, named in honour of Arthur Cayley, states that every group G is isomorphic to a subgroup of the symmetric group acting on G.".
- Cayley's_theorem label "Cayley's theorem".
- Cayley's_theorem label "Satz von Cayley".
- Cayley's_theorem label "Stelling van Cayley".
- Cayley's_theorem label "Teorema de Cayley".
- Cayley's_theorem label "Teorema di Cayley".
- Cayley's_theorem label "Théorème de Cayley".
- Cayley's_theorem label "Twierdzenie Cayleya".
- Cayley's_theorem label "Теорема Кэли (теория групп)".
- Cayley's_theorem label "凱萊定理".
- Cayley's_theorem sameAs Satz_von_Cayley.
- Cayley's_theorem sameAs Teorema_de_Cayley.
- Cayley's_theorem sameAs Théorème_de_Cayley.
- Cayley's_theorem sameAs Teorema_di_Cayley.
- Cayley's_theorem sameAs Stelling_van_Cayley.
- Cayley's_theorem sameAs Twierdzenie_Cayleya.
- Cayley's_theorem sameAs m.0qkjp.
- Cayley's_theorem sameAs Q179208.
- Cayley's_theorem sameAs Q179208.
- Cayley's_theorem sameAs Cayley's_theorem.
- Cayley's_theorem wasDerivedFrom Cayley's_theorem?oldid=600607584.
- Cayley's_theorem isPrimaryTopicOf Cayley's_theorem.