I am really confused on the whole left and right cosets idea. When we did the following example
G = 6 mod 6Z H = {0,2,4}
Question 1: Did we use 0-5 because they were the elements of 6 mod 6Z? This would make sense to me if that's the case.
So then we found that when adding H to 0, 2, and 4 the result was H. So are these the only cosets or are 1, 3, and 5 a coset as well? Are they considered left cosets if they are a coset?
Hopefully someone sees this and responds to me before I do the next homework!!!
-Neely
