1. The problem statement, all variables and given/known data Let A, B be permutations and A = (1 3 5 10)(3 15 8)(4 14 11 7 12 9) and B = (1 14)(2 9 15 13 4)(3 10)(5 12 7)(8 11) Find AB. 2. Relevant equations 3. The attempt at a solution I am struggling with finding the product of this permutations and can't quite get the algorithm or process of how to do these things. I've been reading at Dummit and Foote 1.3 on how they find the compute permutation products but I'm having difficulty understanding their algorithm. I think if I put all the subsets of the cycles that are disjoint all on one side (but I'm not clear on how to do this), it might make the problem easier. If one can help with this problem and list all the steps, this would be very very much appreciated.