(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...

**Physics Forums - The Fusion of Science and Community**

# Groups and Inner Automorphisms

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Groups and Inner Automorphisms

Loading...

**Physics Forums - The Fusion of Science and Community**