Difficult: In the beginning of the section, there was notation G(p) for the set of elements in G whose order is some prime power of p. This notation was confusing to me, and I didn't really understand what it was talking about. Even the example immediately following was of no help to me. Then the following lemmas and theorems all included this notation so I had a hard time following what they were even stating. So following the proof was even more difficult. I felt like this whole section pretty much followed this idea of prime powers and and p-groups, so I felt confused about what this section was stating.
Connections: This section uses a lot of things which we have visited previously in this class. For example, the notion of the orders of elements in a group being prime powers. We have spent lots of time discussing the orders of the elements of a group, and also discussing primes. We have also recently talked about cyclic groups and this is very important in the statement of the Fundamental Theorem of Finite abelian groups. So there are a lot of things in this section that we have visited before, but I feel like the prime power order is the thing that is most confusing.
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