# Isomorphism of a Group

Group theory

Modern Algebra

Group Theory (LV)

Isomorphism of a Group

Automorphism of a Group

Inner Automorphism of a Group

Let G be any group, g a fixed element in G. Define phi:G--> G by phi(x) = gxg^-1.

Prove that phi is an isomorphism of G onto G.

The fully formatted problem is in the attached file.

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#### Solution Summary

It is proven that phi is an isomorphism of G onto G, where G is any group, g a fixed element in G and defined phi:G -->G by phi(x) = gxg^-1.

The solution is detailed and well presented.