Recent content by rlusk35

  1. R

    Proof Involving Homomorphism and Normality

    I'm following you now. Thanks for the help.
  2. R

    Proof Involving Homomorphism and Normality

    How do you know that \theta is onto?
  3. R

    Proof Involving Homomorphism and Normality

    I don't think I'm following entirely. Are you saying that since I know N is in G and because the homomorphism sends elements in G to H, I can say that N is in H? If this is true, I don't understand how to show that N is normal in H.
  4. R

    Proof Involving Homomorphism and Normality

    Homework Statement Prove that if \theta is a homomorphism from G onto H, and N \triangleleft G, then \theta(N) \triangleleft H.Homework Equations The Attempt at a Solution I think I have a good idea of what is going on, but I'm struggling to tie it all together. It's given that N \triangleleft...