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Quotient group

  1. Jul 15, 2012 #1
    i have typed and attached my question and my attempt here with. I am sure I know what I am doing but its a last part I am not sure about so any help would be great.

    Thanks
     
    Last edited: Jul 15, 2012
  2. jcsd
  3. Jul 15, 2012 #2

    HallsofIvy

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    Looking at the second, bH, row, of course, bH*eh= bH is, of course, first. Then 'bH*bH' requires that you 'multiply' {b, g}*{b, g}= {b*b, b*g, g*b, g*g}= {a, e, e, a}= {a, e}= eH. 'bH*cH' is {b, g}*{c, h}= {d, f}= dH. 'bH*dH'= {b, g}*{d, f}= {c, h}= cH.
     
  4. Jul 15, 2012 #3
    many thanks- this clarifies everything
     
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