1. The hardest part of this reading is keeping straight all the different applications to quotient groups such as cyclic, abelian, normal, orders, and cosets. It is a lot of different properties of groups to be pushed into just one little section. Quotient rings are hard enough, thus making quotient groups hard, thus adding all the properties of groups to quotient rings is very confusing and hard to commit to memory and understanding.
2. It was really interesting that quotients came back into the class. We had studied quotient rings but now we are studying quotient groups. I like that this connection exists and that quotient things are coming back. Although, I was never very good with understanding quotient rings, so I probably will have to work hard to understand quotient groups.
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