Wednesday, March 18, 2009

7.6, due March 18

1. This section was very interesting, but there were a couple things that I didn't quite understand. The first thing is the bold sentence at the top pf page 212. After reading all the examples on the previous page, it did seem like when they say Na=aN implied that na=an for every n in N, but I guess that's not true. I read the other sentence below that one, but I don't like that it changed on me all of a sudden :) The other thing that was a little confusing was theorem 7.34. There are a lot of things that are equivalent to each other there, but I don't quite understand exactly what some of them are saying.
2. This section was interesting because we learned about Normal subgroups, and it's just funny to me as if we hadn't already been learning about normal groups, I guess that they're all abnormal before this secction. I also like that it has a lot of similarities to 7.5 and a lot of the other sections in the book.

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