Abstract Algebra: We review symmetric and alternating groups. We show that S_n is generated by its 2-cycles and that A_n is generated by its 3-cycles. Applying the latter with the Conjugation Formula, we show that A_5 is simple.
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,symmetric,alternating,permutation,cycle,simple,normal,transposition,bijection,Cayley
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