- The product of a permutation with its inverse gives the identity permutation.
- Every permutation has a uniquely defined inverse.
- The support of a permutation is the same as the support of its inverse.
Basic Examples (2)
Inverse of a permutation:
Their product gives the identity permutation:
Some permutations, called involutions, are their own inverse:
Generalizations & Extensions (1)
Properties & Relations (4)