Difficult: I am having a bit of a hard time understanding why there is such a big difference between groups and fields. I understand the examples in the book, but it seems to me that all rings can also be considered groups.
Reflective: The concepts in this section seem almost the same as with rings, except that there is only one operation defined in a group. Groups seem more like fields, however, because every element of a group G has to have an inverse.
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