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Isomorphism of a Group

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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.

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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.

Solution provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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