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Embedding Group as a Normal Subgroup

  1. Apr 25, 2014 #1

    WWGD

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    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?

    Thanks.
     
  2. jcsd
  3. Apr 25, 2014 #2

    micromass

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    Try semidirect products
     
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