cayleyn
Cayley's theorem is a fundamental result in group theory, named after the English mathematician Arthur Cayley. It states that every group is isomorphic to a permutation group. In other words, for any group G, there exists a group of permutations of some set that is structurally identical to G. This theorem is crucial in understanding the relationship between abstract groups and concrete groups of permutations.
The proof of Cayley's theorem involves constructing a permutation representation of the group. For each element
Cayley's theorem has significant implications in group theory and its applications. It provides a way to study