Expressing as Product of Disjoint Cycles

[apalmer3]

Homework Statement

Express as the product of disjoint cycles:
a. (1,2,3)(4,5)(1,6,7,8,9)(1,5)
b. (1,2)(1,2,3)(1,2)

The Attempt at a Solution

a. (1, 2, 3) ( 4, 5, 6, 7, 8, 9)
b. (1, 2, 3)


These are the answers I got directly through the product. Would anybody be willing to check those answers? Thank you!

 

[apalmer3]

Sorry. I looked at it again. Here's my second attempt at a solution:

a. (1,4,5,6,7,8,9,2,3)
b. (1,3,2)

 

[Dick]

It looks fine to me, if you are applying the permutations from right to left.