The most difficult part of this material for me was thinking about what G/N actually does. The concept of modding out by a subgroup seems similar to modding out by ideals, but for some reason it still takes me a minute to really think about what is going on. Also some of their examples were a little confusing to follow.
The most interesting part of this material for me was noticing all of the similarities and differences to when we modded out by an ideal. I found it interesting that with groups we can talk about the order of G/N (thrm. 7.36). Why did the topic of order of a group just now come into play? Why didn't we talk about this when we were studying rings?
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