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Abelian not normal

  1. Nov 29, 2011 #1
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    Can someone provide us with a counter example to an abelian (sub)group that is not normal.

    I'm thinking something in the center of a group.
     
  2. jcsd
  3. Nov 30, 2011 #2

    micromass

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    Can you find a subgroup in [itex]D_6[/itex]?? (the dihedral group of order 6, aka the symmetry group of a triangle). Can you find a subgroup that is not normal?? Is this subgroup abelian?
     
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