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Homework Help: Abstract Algebra- A simple problem with Cosets

  1. Aug 28, 2010 #1
    I need to find all the cosets of the subgroup H={ [0], [4], [8] ,[12] } in the group Z_16 and find the index of [Z16 : H].


    Help would be appreciated :)
     
  2. jcsd
  3. Aug 28, 2010 #2

    Office_Shredder

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    You have to show what work you've done so far. Do you know how to calculate the index at least?
     
  4. Aug 28, 2010 #3
    I didn't do much work because I'm not sure how to get started on this subject. I've just started this material and I would appreciate if someone showed me how to calculate the coset in a relatively easy question.
     
  5. Aug 28, 2010 #4

    Office_Shredder

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    Do you know what coset [1]+H looks like?
     
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