7.4

1. What was the most difficult part of the reading for you?
The thing that I'm struggling with is, if there are two groups who work under two different operations, I feel like I'm going to struggle how to use which operation. For example, I struggled to follow the second example on page 192 where were were looking at the additive group of real numbers and it's mapping to the multiplicative group of positive real numbers. This seems confusing and no fun to me.

2. Theorems
It's probably because I haven't done the homework for 7.3 yet, but the different theorems discussed and proven in 7.4 kind of through me for a loop. Again, it's probably because I haven't done the exercises for the things discussed in the theorem (like cyclic groups and such) but these theorems kind of make my head feel mushy.