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Alternating group

  1. Jan 27, 2012 #1
    I have seen proofs that the alternating group A_n cannot have subgroups with index less than n. Ok, but what is the subgroup with index equal to n?
     
  2. jcsd
  3. Jan 28, 2012 #2

    morphism

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    A_{n-1}?
     
  4. Jan 28, 2012 #3

    Deveno

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    this is true, but one should point out there there are usually several subgroups of An isomorphic to An-1 (each one fixing a different element of {1,2,...,n}).
     
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