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Abelian groups
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If G is any group, define $:G->G by $(g) = g^-1. Show that G is abelian if an only if $ is a homomorphism.
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Solution Summary
This is a proof regarding homomorphisms and Abelian groups.
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Proof:
If G is abelian, then for any x,y in G, we have xy=yx. ...
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