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    Groups : Isomorphism and Homomorphism

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    Note: G =~ G1 means G is isomorphic to G1

    If G/K =~ H, show that there exists an onto homomorphism $:G -> H with kernel $ = K

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    https://brainmass.com/math/linear-transformation/groups-isomorphism-homomorphism-15978

    Solution Preview

    Proof:
    Since G/K=~H, then there exists an isomorphism f: G/K->H. For any h in H, we can find a gK in G/K such that ...

    Solution Summary

    Homomorphic groups are investigated.

    $2.19