Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

  4. Jan 28, 2012 #3


    User Avatar
    Science Advisor

    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}).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook