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Abstract Algebra - Subgroups of index 2 in R*

  1. Mar 11, 2009 #1
    1. The problem statement, all variables and given/known data

    I am having trouble understanding how I would go about finding all subgroups of index 2 in R*, the multiplicative group of nonzero real numbers. Any hints will be greatly appreciated.

    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 11, 2009 #2

    Hurkyl

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    If you don't know what you need to do, then look for something you can do.

    For example, you spent a lot of time dealing with structure theorems for Abelian groups -- so one of the most natural things to do when studying an Abelian group is to see if you can analyze its structure....
     
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