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    Homomorphism and Kernel

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    Please help me to understand the attached homework problem on finding the kernel.

    Find the Kernel
    Consider the groups of nonzero complex numbers, *, and positive real number +, both with multiplication. Let f: *  + be defined by f(z)= |z|. Prove that f is a homomorphism and find the kernel of f.

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    Solution Summary

    This provides an example of proving f is a homomorphism and finding a kernel.