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.© BrainMass Inc. brainmass.com October 9, 2019, 5:42 pm ad1c9bdddf
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.