- #1
Locoism
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Homework Statement
Let G be a group. Show that G/Z(G) [itex]\cong[/itex] Inn(G)
The Attempt at a Solution
G/Z(G) = gnZ(G) for some g ε G and for any n ε N
choose some g-1 such that
g(g-1h) = g(hg-1)
and the same can be done switching the g and g-1
This doesn't feel right at all...