(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let G be a group. Show that G/Z(G) [itex]\cong[/itex] Inn(G)

3. The attempt at a solution

G/Z(G) = g^{n}Z(G) for some g ε G and for any n ε N

choose some g^{-1}such that

g(g^{-1}h) = g(hg^{-1})

and the same can be done switching the g and g^{-1}

This doesn't feel right at all...

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# Groups and Inner Automorphisms

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