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by Ciro Santilli (@cirosantilli, 37)

How to show that a group is simple

 ... Algebra Group Subgroup Quotient group Normal subgroup Simple group
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
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 M24​ is simple in just 200 pages. Nice.
Examples:
  • the alternating groups of degree 5 or greater are simple

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