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Question on Permutations and Products of Transpositions.

  1. Apr 11, 2013 #1
    Hi all, I've answered a question but there's no answer for it, and if ye could tell me if I'm doing it right I'd appreciate it thanks :)

    Permutation: 1 2 3 4 5 6 7 8 9 10 11 12 13 14
    --------------------2 3 1 6 5 4 8 10 13 11 12 7 14 9

    (i) Write it as a product of transpositions.

    I got the answer (1 2)(2 3)(4 6)(7 8)(8 10)(10 11)(11 12)(13 14)(14 9) ... But unsure if this is correct !

    (ii) What is the sign of the permutation in terms of the product of transpositions? .... Not sure what the answer is here :( Could anyone show me how to do it?
     
  2. jcsd
  3. Apr 11, 2013 #2

    micromass

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    Seems ok.

    Is it written as a odd or an even number of permutations? What is the corresponding sign?
     
  4. Apr 11, 2013 #3
    Obviously >.< *Facepalm*

    Thank you.
     
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