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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
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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