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November 6th, 2010, 06:05 PM   #1
Joined: Sep 2010

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Question on Group of Permutations

Question: We have the subgroup S_5 generated by: I must complete the other 3 elements for h,k, and l then do all the composition of every group to each other. I tried

and obtained but when I did and I obtained . I am very confused atm on what to do.

Are and two of the elements that I need to find? So and and I will be able to figure out ? If that is the case, why do we have some of the same numbers being mapped two the same elements again? In g we have 1 -> 1 and in we have 1 -> 1. I don't think this is allowed. Any help will be graciously appreciated.
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