What topics/theorems are most important?
I think quotient rings, ideals, and groups, especially congruence in those areas, are the most important concepts learned in class since the last exam.
What kind of questions do I expect to see?
Based on the last exam, I expect to see some conjectures that are either true or false, and require our justification. I also expect to see some proofs of some of the named theorems from class.
What do I need to work on understanding?
I really need to review things like cosets and cyclic subgroups.
A question: List all the cyclic subgroups of D_{4}
I had a hard time seeing how this definition fit in with this idea, because it seemed as though all the rotations in D_{4} can be done several times...there is something I'm not understanding about this definition.
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