Friday, March 11, 2011

7.4, due on Monday, March 14

1. The hardest part of the reading is probably understanding the new principle of an automorphisms. Everything else in this reading we have done, just with rings so it is pretty easy to understand. But an automorphism is something that is new, and it is used in the homework problem number 19, and I do not know how to do it. Like what is the point of an automorphism and an inner automorphism of G induced by c. It is so confusing.

2. The most interesting part of this reading was that isomorphisms and homomorphisms have come back and can be applied to groups. This is a really cool connection. I like learning things that I already know. It makes me feel smart, and it makes me feel like I can actually do the mathematics that is in this course.

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