Explore BrainMass
Share

Explore BrainMass

    Kernel of Homomorphism

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

    Please see the attached file for the fully formatted problems.

    Suppose  is an onto homomorphism from ℤ16 to a group G of order 4. Find ker(). Explain your answer.

    © BrainMass Inc. brainmass.com October 9, 2019, 3:44 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/kernel-homomorphism-11867

    Attachments

    Solution Preview

    Please see the attachment.

    : is a group homomorphism. is onto. Since is a cyclic ...

    Solution Summary

    A kernel is found. The method is explained in detail.

    $2.19