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Homework Help: Showing that g^-1 H g is a subgroup

  1. Feb 15, 2010 #1
    1. The problem statement, all variables and given/known data
    If H is a subgroup of G, show that [tex]g^{-1}Hg={g^{-1}hg \; h\in H[/tex] is a subgroup for each g[tex]\in[/tex] G

    2. Relevant equations

    3. The attempt at a solution

    I know I just have to check for closure and inverses, but the elements in this group [tex]g^{-1}hg[/tex] with different h or with different g?
  2. jcsd
  3. Feb 15, 2010 #2


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    Re: Subgroups

    Same g for all of them but different h's in H.
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