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Math Help - simplicity of An

  1. #1
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    simplicity of An

    Hey everyone please help me, im struggling to show that A6 is simple.

    Prove that A6 Simple.
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  2. #2
    Super Member Gamma's Avatar
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    A_n simple for n>4

    It turns out you can do better. It is easy to show A_5 is simple with the Sylow Theorems; however, it is also true that A_n is simple for n \geq 5.

    It is kind of involved, but here is a pretty easy to follow proof that I found for you. PlanetMath: simplicity of the alternating groups
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  3. #3
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    Thanks Gamma
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