Results 1 to 2 of 2

Math Help - Homomorphic images of D3.

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    26

    Homomorphic images of D3.

    What are all the homomorphic images of D3 (up to isomorphism)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    May 2008
    Posts
    2,295
    Thanks
    7
    Quote Originally Posted by o&apartyrock View Post

    What are all the homomorphic images of D3 (up to isomorphism)?
    the kernel of such homomorphism is a normal subgroup of D_3. now D_3 has only 3 normal subgroups: (1), D_3, and a subgroup of order 3. so the homomorphic images are (1), \ D_3 and \mathbb{Z}/2\mathbb{Z}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A continuum of homomorphic images
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: June 4th 2010, 12:48 AM
  2. Homomorphic images of Z15.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 10th 2009, 12:16 PM
  3. Homomorphic images of D3.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 28th 2009, 04:55 PM
  4. homomorphic images
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: December 3rd 2006, 11:12 AM
  5. Homomorphic Images
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: November 18th 2006, 04:45 PM

Search Tags


/mathhelpforum @mathhelpforum