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Symmetry Group of Polynomials

  1. Sep 4, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex](x_1 - x_2)(x_3 - x_4)[/tex]
    Find permutations of subscripts that leave value unchanged

    2. Relevant equations

    3. The attempt at a solution
    Okay so I know that it's asking how I should rearrange things and still not change the value.
    Switching 1 with 2 or 3 with 4 would work but I know there's more than that but I'm don't know how to show it.
    I guess I can expand it but I'm not sure if that helps
  2. jcsd
  3. Sep 4, 2009 #2


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    "Switching 1 with 2 OR 3 with 4" doesn't work, "switching 1 with 2 AND 3 with 4" does. How about switching 1 with 3 and 2 with 4? Hmm?
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