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Algebraic structures problems

  1. Feb 21, 2010 #1
    1. The problem statement, all variables and given/known data
    Prove that the set of even permutations in Sn (i.e, An) is a group.
    List the elements of A4

    2. Relevant equations
    How do I even try to prove these

    3. The attempt at a solution
    I have started a new course and am finding the problems very difficult.
    Is there any books out there that can help me on groups and permutations.
    Any help would be great.
  2. jcsd
  3. Feb 21, 2010 #2
    You have to show that the elements of the set satisfy the axioms of a group under the group operation (which is not mentioned, but they probably mean combined permutation).
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