Can anyone help with the following problem:

Find all possible homomorphisms between the indicated groups:

:

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Thoughts:

The only normal subgroups of are {e} and

Thus (following the case for {e}) we can assume Ker = {e} for a homomorphism (by the First Isomorphism Theorem)

But how do we find the find the homomorphism - or homomorphisms?

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If I can see the situation for {e} then I am hoping a similar analysis will yield the homomorphism(s) for the case of

Be grateful for some help.

Peter