I thought the rest of section 7.5 was mostly understandable. What I read from section 7.6 was very confusing though. I'm sure missing class on Friday is a main reason for my confusion. I am having a really hard time conceptualizing what a congruence class in a group is. So talking about left congruence classes now is increasing my confusion. I think that going through examples in class will really be the only way for me to grasp this.
I really enjoy being able to classify finite groups as being isomorphic to some particular modulo of the integers. I feel like isomorphism in groups seems to be much more easy to identify than in rings and thus I feel like I know so much more about a finite group when I see it than I did about a ring. I actually enjoy rings more I think. Maybe that's just because I'm having a harder time understanding groups.
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