Reload
this page for another set of examples.
Question.
- Let f be the element
of S,
which has been written in two-line notation.
Write f in cycle notation.
- Let g be the element
of S,
which has been written in cycle notation.
Write g in two-line notation.
- Compute the inverse of f.
Try doing the computation in each of our two notations.
- Compute the composition f ○ g.
Try doing the computation in each of our two notations.
Answer.
- f = .
- g = .
- f-1 =
= .
- f ○ g =
= .
Bear in mind that cycle notation is not unique:
your answer could still be correct
if your cycles came in different order or started at different places,
or you included cycles of length 1.