Tuesday, November 22, 2016

Test review, due on November 28

I think the most important theorems are the ones that allow us to manipulate groups more easily, such as Lagrange's Theorem, the Sudoku Theorem, and the fact that subgroups of a cyclic group are cyclic.

I expect to see questions on the exam that are similar to the homework problems but are things we haven't seen before.  I feel like the best way to test our knowledge is to have proofs on the test that are unfamiliar but follow easily from the theorems we have learned.

I need to practice proving the theorems on the practice exam.  I learned the proof of the First Isomorphism Theorem for the last test, but I haven't yet tried to reconstruct it with group notation instead of ideals, and I need to practice the others.

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