Thursday, November 3, 2016

4.3, due on November 4

1.  Mostly the difficult part of this section was the number of new ideas it introduced.  Most of them are things we've never seen before, which makes it harder to keep track of them all.  I read the section this morning, and I had completely forgotten about the center of a group by the time I finished reading about cyclic groups and generators.

2. I think it's really interesting that we only need to check one axiom for finite subgroups.  Subrings and ideals (and subspaces of vector spaces)
require two, even in finite rings.

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