# Group homomorphisms

Homomorphism

(a) Find the formulas for all group homomorphisms from Z_18 into Z_30.

(b) Choose one of the nonzero formulas in part (a), and for this formula find the kernel and image, and show how elements of the image correspond to costs of the kernel.

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#### Solution Summary

This shows how to find formulas for group homomorphisms, and how to find kernel and image.

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