§ GAP permutation syntax
- The action of permutation on an element is given by . This is the "exponential notation" for group actions.
- See that we only ever write permutations multiplicatively, eg
(1) (23) is the composition of permutations [written multiplicatively ].
- Thus the identity permutation must be
1, and it's true that any number
n^1 = n, so the identity permutation
1 fixes everything.