Explore BrainMass

Explore BrainMass

    Groups : Isomorphism and Homomorphism

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    © BrainMass Inc. brainmass.com May 24, 2023, 1:17 pm ad1c9bdddf

    Solution Preview

    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.