# Condition of a Normal Subgroup of a Group

Suppose that A and B are two normal subgroups of a group G and that A intersection B = {e}.

Show that for any a belongs to A , b belongs to B, ab = ba.

https://brainmass.com/math/basic-algebra/603293

#### Solution Preview

Proof:- Let A and B be two normal subgroups of a group G such that

A intersection B = {e}

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#### Solution Summary

This proof explains the condition of normal subgroup of a group.

- The solution is given in detail.

- This is mainly for finding the properties of normal subgroup of a group.

$2.19