7.3

1. What was the most difficult part of the reading for you?
I think the hardest part of the reading for me today was understanding "Generators of a Group." I'm not convinced that I'm convinced all the way yet about this concept. Well, I see how, for example {7,11} generate the group U15, like in the example.... but.... I'm not sure that I know where that comes from or why that matters. Well, it isn't even that I need to know why it matters, but I"m confused by the explanation of where this "generator" comes from.

2. Cyclic Subgroups Generated By "a"
I decided that I like this to be named "cyclic" because it's cyclical!!!!! Well, I guess if it's of infinite order it isn't cyclical, but I like the idea of it being of finite order and being cyclical. I know this is a lame thing to talk about, but that's how I feel. However, I would like to say that while I understand the change of notation for additive groups, I don't like it. I wish it would just be consistant notation for groups and that would make me happy.