## ยง GAP permutation syntax

- The action of permutation on an element is given by $i^p$. 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.