Linked from

The 8 pages that link to Cayley's theorem, each with the reason it gives.

• PermutationRelated: 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.

• Arthur CayleyBroader topic: It realizes any abstract group as a group of permutations, clarifying the meaning of group structure.

• IsomorphismRelated: It represents abstract group structure concretely through permutations.

• Mathematical structureBroader topic: It realizes an abstract group structure through permutations.

• Fundamental theorem on homomorphismsRelated: The regular action gives an injective homomorphism whose kernel is trivial.