Results 1 to 2 of 2

Math Help - Homomorphic Image Question

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    22

    Homomorphic Image Question

    Suppose that the group (H,#) is a homomorphic image of the group (G,*). Is (G,*) necessarily a homomorphic image of the group (H,#)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Bruno J.'s Avatar
    Joined
    Jun 2009
    From
    Canada
    Posts
    1,266
    Thanks
    1
    Awards
    1
    No! H could be smaller than G, and then there is no way G could be the image of any kind of function defined on H.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Homomorphic image of principal ideal ring
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: May 14th 2011, 06:59 PM
  2. [SOLVED] General Question about Image
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 29th 2010, 07:40 PM
  3. Prove homomorphic image
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: April 13th 2010, 10:33 AM
  4. Prove cyclic group in homomorphic image
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: April 12th 2010, 10:57 PM
  5. G/N homomorphic image
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 23rd 2009, 03:56 PM

Search Tags


/mathhelpforum @mathhelpforum