Section 7.5 part 2

Difficult: The most difficult part of this section for me was Theorem 7.30. I think I can follow the proof, but it was hard to convince myself that the proof was sufficient to show that a group of order 6 is isomorphic either to Z(6) or S(3). Although it was hard to follow, I hope to understand it better in class today. Going through the proof more carefully would help me.

Reflective: I think that it is interesting that we are starting to classify all finite groups. It is incredible to me that we can use isomorphisms to examine their structure. I wonder, though, that if we have all finite groups up to order 8 classified, do the theorems that we are reading and proving now extend well to finite groups of large orders?