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Math Help - Abstract Algebra corrected

  1. #1
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    Abstract Algebra corrected

    Sorry the symbols in the first thread didnt work. Here is the first question again.
    Attached Thumbnails Attached Thumbnails Abstract Algebra corrected-q1.bmp  
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  2. #2
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    Thus, \sigma = (1,2,3,4) and \tau = (2,4). A simple calculation will show \tau \sigma = \sigma^3 \tau. But \sigma^3 = \sigma^{-1}. Thus, \tau \sigma = \sigma^{-1} \tau. This means, \tau \sigma^{k} = \tau \sigma \sigma^{k-1} = \sigma^{-1} \tau \sigma^{k-1} = \sigma^{-1} \tau \sigma \sigma^{k-2} = \sigma^{-2} \tau \sigma^{k-2} = ... = \sigma^{-k} \tau.
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