Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Geometric description homework

  1. Mar 16, 2009 #1
    1. The problem statement, all variables and given/known data
    In each case give a geometric description of the cosets of H in G.
    a) G=R*, H=R+
    b) G=C*, H=R

    2. Relevant equations

    3. The attempt at a solution
    I have no idea about geometric description...
  2. jcsd
  3. Mar 16, 2009 #2
    Re: cosets

    R* means multiplicative
    R+ means additive
    left and right cosets...
  4. Mar 16, 2009 #3

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Re: cosets

    The meanings of R* and R+ are clear - and since they are abelian it doesn't matter whether we mean left or right cosets.

    First, let's forget the geometric nature of the question. Instead, can you say what the cosets are in each case?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook