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Abstract Algebra - Q/Z

  1. Sep 11, 2008 #1
    1. The problem statement, all variables and given/known data

    If G is the additive group Q/Z, what are the elements of the subgroup G(2)? Of G(P) for any positive prime P?

    Where G(n)={a e G| |a| = n^(k) for some k is greater than or equal to 0}...That is the set of all a in G, s.t. the order of a is some power of n. (But since it is the additive group, I suppose it would just a be a multiple of n)

    2. Relevant equations

    3. The attempt at a solution

    How do I even begin with this? Aren't the elements of Q/Z sets? The collections of right cosets? and don't they have infinite order?....

    This might be a more appropriate place for this question...
  2. jcsd
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