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    Condition of a Normal Subgroup of a Group

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    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.

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    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}
    ...

    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.

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