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    Normal Subgroups

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    Let G be a group and let D ={(a,a,a):a E G}. Prove that D is a normal subgroup of G+G+G if and only if G is Abelian.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:17 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/normal-subgroup-functions-11841

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    Proof:
    First, I claim . ...

    Solution Summary

    A normal subgroup is investigated. The proof is elegant.

    $2.19

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