Difficult: Just like with quotient rings with ideals, I don't understand how to determine if something is a quotient ring, and how to find the elements of it. Also, at the end of the section it was talking about the structure of the quotient groups. I don't understand why this is important and when it would be useful. I think the hardest part of this section was just being able to find the quotient group and know why it was useful.
Connections: The theorems and ideas associated with quotient groups is pretty similar to those of quotient rings. I feel like these are a lot alike. However, as I said before, quotient rings were difficult for me to understand, so I also feel like quotient groups will be hard to understand. Also, I noticed that quotient groups were given a new name as well, factor groups. Why are they called that? Is there a property about them that has to do with factoring?
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