- #1

wontonsoup

- 1

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## Homework Statement

This is just an example in a textbook but I'm completely stumped.

This is dealing with cycles, and product permutations.

So we have

p=(341)(52)

q = (1452)

and we want to compute the product permutation qp

## Homework Equations

so qp = (1452) * (341)(25)

The book writes p sends 3 to 4 and q sends 4 to 5 so qp sends 3 to 5.

## The Attempt at a Solution

I know that we proceed from right to left on the permutations, and go from left to right inside the cycles.

I realize that in a cycle, say (341) 3 -> 4-> 1-> 3.

Then in this problem of finding "qp" we start with 1, and the right-most permutation. Then from there I am lost. I suppose 1 -> 3 -> ?. after 1 sends to 3 in p, do we then find what 3 would send to in q (except there is no 3 in q)?The answer for this example is (135) but I am completely lost on how to proceed. The book unfortunately isn't very clear on this. Could anybody give me some pointers on how to proceed? Thanks!