In S(5) let pi=(245)(1354)(125). Write pi as a product of disjoint cycles and then answer the following questions.
(a) Determine pi^2, pi^5, pi^(-1).
(b) What is the order of pi? Why?
Products of disjoint cycles are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.