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Simple Algebra Proof: Finding all elements of a Group, S.

  1. Oct 5, 2011 #1
    1. The problem statement, all variables and given/known data

    Find all elements x in S4 such that x4 = e.

    (e is the identity)

    2. Relevant equations

    Cycle notation is advised.

    3. The attempt at a solution

    I know there are 4 elements in this (1 2 3 4). And I feel like I need to find the order of S which can be found by finding the number of cycles.

    Suppose S is a finite group with x elements, then xn = e for all x in S. That's my start. not sure where to go from there.
     
    Last edited: Oct 5, 2011
  2. jcsd
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