Abstract Algebra: Using conjugacy classes, we give a second proof that A5, the alternating group on 5 letters, is simple. We adapt the first proof that A5 is simple to show that An is simple when n is greater than 5. The key step is to show that any normal subgroup with more than the identity contains a 3-cycle.
U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-theory Master list at http://mathdoctorbob.org/UReddit.html
Tagged under: Mathematics,abstract,algebra,group,theory,simple,finite,alternating,symmetric,conjugacy,class,permutation,cycle,icosahedral
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