# Intersection of two normal subgroups is a normal subgroup.

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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#### 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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