Thread: right and left cosets
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Old December 15th, 2008, 03:27 PM
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Originally Posted by mandy123 View Post
I am suppose to find the right and left cosets of <(1 2 3),2> in S_3 (+) Z_3
We have H=\left< ((123), 2) \right> = \{ (\text{id},0), ((123),2), ((132),1) \}

Take an element not found in this set, say ((12),1) and this gives us ((12),1)H = \{ ((12),1), ((23), 0), ((13), 2) \}.

Take an element not found in any of these sets, say ((12),2) and this gives us ((12),2)H = \{ ((12),2), ((23),1), ((13),0) \}.

Can you continue?
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