Results 1 to 2 of 2

Math Help - Homomorphism 7

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    36

    Homomorphism 7

    If m is a homomorphism of G onto G' and N is a normal subgroup of G, show that m(N) is a normal subgroup of G'.

    Please show steps, thanks!
    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 mpryal View Post
    If m is a homomorphism of G onto G' and N is a normal subgroup of G, show that m(N) is a normal subgroup of G'.

    Please show steps, thanks!
    I will give you a hint for this problem. In general if m: G\to G' is a homorphism and N is a normal subgroup of G then m(N) is a normal subgroup of m(G). Prove this version. Then note if m is onto then m(G) = G and so m(N) is a normal subgroup of G.

    Show your work I do not want to help if you do not show your work.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: April 19th 2013, 04:05 PM
  2. Homomorphism
    Posted in the Advanced Algebra Forum
    Replies: 15
    Last Post: June 25th 2011, 07:45 AM
  3. Is this a homomorphism?
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: August 27th 2010, 02:10 AM
  4. homomorphism
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 21st 2009, 10:38 PM
  5. Homomorphism
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 15th 2009, 03:17 PM

Search Tags


/mathhelpforum @mathhelpforum