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Group homomorphisms

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Homomorphism
Problem 1:

Find all group homomorphisms from Z4 into Z10

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https://brainmass.com/math/linear-transformation/group-homomorphisms-2417

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Homomorphism
Problem 1:

Solution:

Any homomorphism µ : Zn -> Zk is completely determined by µ([1]n), and this must be an element [m]k of Zk whose order is a divisor of ...

Solution Summary

This shows how to find group homomorphisms.

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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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