Thread: Cycle Decomposition

Just a quick question. I've been asked to express as a product of 3 transpositions with as the right hand factor.

Would a valid answer?

Thanks in advance

Just remembered that the transposition , so guess my next questions is how to answer this?

Earlier in the question I showed that where .

Also deduced that using the from above.

Guessing I need to use this to answer the question, not sure how to start though?

Thanks again in advance

Sorry I seem to have a habit of answering my own questions.

Though a little trial and error I've found that:

, could someone verify this?

Also is there a way I should have done this, ie. a more efficient way that trial and error?

Thanks again, and sorry for taking up all of the thread