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Math Help - Quaternion Group

  1. #1
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    Quaternion Group

    G={+/- 1, +/- i, +/- j, +/- k}
    H={1, -1}

    How do I construct the cayley table for G/H?
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  2. #2
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    Quote Originally Posted by jujab View Post
    G={+/- 1, +/- i, +/- j, +/- k}
    H={1, -1}

    How do I construct the cayley table for G/H?

    The basic laws are: i^2=j^2=k^2=-1\,,\,\,ij=k\,,\,\,jk=i\,,\,\,ki=j . Try now to have some fun proving that if you reverse the order of the above products you get minus the result, i.e. ji=-k\,\,and\,\,etc.

    Tonio
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  3. #3
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    Ok, thanks!
    Last edited by jujab; November 5th 2009 at 09:49 AM.
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