Abstract Algebra: find product of permutations A, B

[sickplaya]

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.

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 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.

 

[daon]

Re: Introductory Abstract Algebra Problem

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.

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 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.

Permutations are not commutative in general, so in which direction does your text tell you to take a product of permutations?