Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Embedding Group as a Normal Subgroup

  1. Apr 25, 2014 #1


    User Avatar
    Science Advisor
    Gold Member

    Hi, let G be any group . Is there a way of embedding G in some other
    group H so that G is normal in H, _other_ than by using the embedding:

    G -->G x G' , for some group G'?

    I assume this is easier if G is Abelian and is embedded in an
    Abelian group. Is there a way of doing this in general?

  2. jcsd
  3. Apr 25, 2014 #2
    Try semidirect products
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook