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.
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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.