KnowraCayley's theoremLinked fromLinked fromThe 8 pages that link to Cayley's theorem, each with the reason it gives.All 8Broader topic 2Related 6PermutationRelated: It shows that abstract group elements can always be represented by permutations.Group actionRelated: The regular action proves that every abstract group can act faithfully on itself.Group homomorphismRelated: Its proof represents group elements by permutations through a homomorphism.Permutation groupRelated: It shows that abstract groups can all be represented through permutations.IsomorphismRelated: It represents abstract group structure concretely through permutations.Fundamental theorem on homomorphismsRelated: The regular action gives an injective homomorphism whose kernel is trivial.