Results 1 to 2 of 2

Math Help - Group Homomorphisms

  1. #1
    elvis
    Guest

    Unhappy Group Homomorphisms

    I'm somewhat confused, can anybody help ?

    Suppose that phi : Z(50)->Z(15) is a group homomorphism with phi(7)=6.
    a) determine phi(x)
    b) Determine the image of phi
    c) determine the kernel of phi
    d) determine (phi^-1)(3))
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by elvis View Post
    I'm somewhat confused, can anybody help ?

    Suppose that phi : Z(50)->Z(15) is a group homomorphism with phi(7)=6.
    a) determine phi(x)
    b) Determine the image of phi
    c) determine the kernel of phi
    d) determine (phi^-1)(3))
    phi(7)=6, so phi(14)=12, phi(21)=3, ... can you continue?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Group Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 12th 2011, 04:15 AM
  2. Group Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: September 6th 2011, 04:20 AM
  3. Properties of Group Homomorphisms
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: December 5th 2010, 06:06 PM
  4. Number of group homomorphisms
    Posted in the Math Challenge Problems Forum
    Replies: 0
    Last Post: June 8th 2010, 12:17 PM
  5. Group homomorphisms!
    Posted in the Advanced Algebra Forum
    Replies: 10
    Last Post: February 8th 2008, 11:46 AM

Search Tags


/mathhelpforum @mathhelpforum