This was definitely difficult reading. I got the two lemmas pretty well, but the proof for 7.52, which was the whole point of the section, was a beast. I look forward to going through the proof in class.
Since every finite group is isomorphic to a group of permutations, it seems like every group is going to have a normal subgroup isomorphic to An so the same theorems that we learned in this section would apply to all those subgroups.
Sunday, March 29, 2009
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