Saturday, November 19, 2016

7.8, due on November 21

1. The hardest part of this section was Theorems 7.43 and 7.44.  Everything earlier in the section is similar to things we did with rings and ideals (and vector spaces), so it's not difficult to apply it to groups.  Once we start talking about quotient groups of quotient groups, though, it gets much harder to tell what's going on.

2. I thought the section on simple groups was really interesting.  It was a cool insight into some of the work there still is to do in group theory. (Also, it was much easier to understand than the rest of the section.)

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