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Prove that U_{m/n_1} (m) , . U_{m/n_k} (m) are normal subgroups

  1. Apr 24, 2014 #1
    prove that U_{m/n_1} (m) , ....... U_{m/n_k} (m) are normal subgroups

    In the attached image I have proved that U_{m/n_1} (m) , ....... U_{m/n_k} (m) are normal subgroups

    But how do i Prove that U(m) = U_{m/n_1} (m) ....... U_{m/n_k} (m)?

    and that their intersection is identity alone.

    Help will be appreciated. Thanks
     

    Attached Files:

  2. jcsd
  3. May 4, 2014 #2
    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
     
  4. May 7, 2014 #3

    disregardthat

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    What is U(m)?
     
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