# Group homomorphisms

Homomorphism

Problem 4:

Let G, G1, and G2 be groups. Let Âµ1 : G -> G1 and Âµ2 : G -> G2 be group homomorphisms. Prove that

Âµ : G -> G1 Ã— G2 defined by :

Âµ (x) = (Âµ1 (x), Âµ2 (x)), for all x in G,

is a well-defined group homomorphism.

https://brainmass.com/math/group-theory/group-homomorphisms-functions-2422

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Homomorphism

Problem 4:

Solution:

Given a, b ...

#### Solution Summary

This is a proof regarding group homomorphisms.

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