Thursday, March 8, 2012

Section 7.4

Difficult: I am having a difficult time understanding why the image of a function is important, what it will be used for, and what exactly part 4 of theorem 7.19 means. Also, I don't understand Cayley's Theorem and the proof of it.

Reflective: I think that the idea of 2 groups with different operations being isomorphic to each other is really interesting. It seems that isomorphisms of groups are more versatile than isomorphisms in rings, and I think they will be interesting and perhaps a little easier to work with, now that I understand isomorphisms better.

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