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    Normal Subgroups of a Group

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    Modern Algebra
    Group Theory (XLI)
    Subgroups of a Group
    Normal Subgroups of a Group

    Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.

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    Modern Algebra
    Group Theory (XLI)
    Subgroups of a Group
    Normal Subgroups of a Group
    ...

    Solution Summary

    It is proven that for any two normal subgroups N and M of a group G and that N intersection M = (e), then for any n belongs to N, m belongs to M, nm = mn.
    The solution is detailed and well presented.

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