1. The hardest part of this reading is understanding some of what theorem 8.1 is saying. I do not understanding G's elements being of the form a1a2a3... with each one pairing up with N1, N2, etc. What is an example of these types of elements in G and their corresponding normal subgroups in actual numbers and groups and not just letters. I cannot follow anything with letters if I do not have an example of what it is saying in numbers. It is just very confusing.
2. The most interesting part of this reading was that you can write groups as a sum of two or more of its subgroups. I think that is really cool and interesting. Also, you can know how many elements are in a group made of up crossing between other group because if those other groups are finite, you just multiple each's order to get the order of the cross of them all. That is really cool too. I like doing fun stuff like that.
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