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math.stackexchange.com/questions/203168/proving-a-group-is-simple
scholarworks.sjsu.edu/cgi/viewcontent.cgi?referer=https://www.google.com/&httpsredir=1&article=5051&context=etd_theses proves that the Mathieu group is simple in just 200 pages. Nice.
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  1. Simple group
  2. Normal subgroup
  3. Quotient group
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