Obviously any theorems with names (1st Isomorphism Thm, Lagrange's Thm) are important. It seems that the basic ideas on this test will be ideals, kernals, groups, subgroups, and centers of groups.
What kinds of questions do you expect to see on the exam?
I kind of answered that above. I'd hope it would be like the last test, with some definitions, some questions asking for examples, a proof, and an application of some theorems to something we haven't worked specifically on.
What do you need to work on understanding better before the exam?
I am not sure yet... I think I get confused with ideals and cosets and subgroups, and how they are different. I also find the order of an element confusing, and what it means for a group to be generated by two elements.
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