Hom(Z x Z, Z) - is it a cyclic group

From: Christopher Kolago <precarion@xxxxxxxx>
Date: Tue, 22 Jan 2008 09:06:48 EST

Is a group of all homomorphisms from (Z x Z) to Z cyclic or is it not? As far as I can remember it's not cyclic (I solved this problem about a year ago, but today I'm somehow unable to prove it; bad day, I think...)

Chris
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