Wednesday, March 23, 2011

7.6 (part 1), due on March 23

1. I think I am getting confused between left cosets as presented in 6.1 denoted a+I, and left cosets as presented in this section denoted a+K. Is the only difference that I is a subring and K is a subgroup?

2. It appears that a normal subgroup N of G is similar to abelian (commutative) groups as talked about before, except now we are talking about the commutativity(?) of cosets. So Na=aN for all a in G.

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