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# Homomorphism

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If G = <X> and \$:G->G1 is an onto homomorphism, show that G1 = <\$(X)>, where \$(X) = the set of \$(x) given that x belongs to X.

##### Solution Summary

This is a proof regarding an onto homomorphism.

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Proof:
Let X={x1,...,xn}. G=<X>=<x1,...,xn>. So for any g in G, we can express g in form of x1^(k1)...xn^(kn).
Since \$ is onto homomorphism, ...

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