# 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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