7.3, due on March 11

Subgroups, centers, and cycles!  Oh my!  I feel like this section was more difficult because there was so much information in it.  The individual parts weren't too bad but all together it seemed like there was too much to chew.  The part on generators was a little hard to follow because I felt like we had already talked about the elements that generate a group, but we had actually only discussed the elements that generate a cyclic group.  That first little taste of confusion lasted through the whole theorem, so I got a little lost.  Most of the theorems seemed to be straightforward maybe because they answered some of the questions that came to my own mind.  They're proofs however weren't so straightforward.  I found myself getting hung up on notation again and trying to read the symbols instead of just interpreting their proper meanings.  I've got to stop doing that!