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    Intersection of two normal subgroups is a normal subgroup.

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

    Show that the intersection of two normal subgroups of G is a normal subgroup of G.

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    https://brainmass.com/math/basic-algebra/intersection-of-two-normal-subgroups-is-a-normal-subgroup-63913

    Solution Summary

    It is shown that the intersection of two normal subgroups of G is a normal subgroup of G. The solution is detailed and well presented.

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