What was most difficult?
After reading this section, I asked myself, "what was that all about?", which is not a good sign!
let me try and summarize what I DO understand:
the direct product is the cartesian product of several groups, and is itself a group.
but a particular group is not a subgroup of the direct product.
Normal subgroups whose intersection is the cyclic group of the identity have abelian elements, where an element is from each group.
it's a bit clearer what I don't understand: the 2nd example on pg. 245, specifically when it moves to page 246, theorem 8.1, and theorem 8.3
Reflections
Just trying to stay alive with all my classes, and MAA conference (I'm presenting!) on Friday.
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