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

  • Thread starter vish_maths
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  • #1
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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
 

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  • #2
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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?
 
  • #3
disregardthat
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What is U(m)?
 

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