Let g ∈ G, where G is a group. Prove that the function f : G → G given by f (h) = ghg−1 isan isomorphism from G to itself (i.e. an automorphism of G).
Question
Solution 1
To prove that the function f: G → G given by f(h) = ghg−1 is an isomorphism from G to itself, we need to show that it is both a homomorphism and a bijection.

Homomorphism: A function f: G → G is a homomorphism if for all a, b in G, f(ab) = f(a)f(b). Let's check this for our function:
f(ab) = Knowee AI is a powerful AIpowered study tool designed to help you to solve study problem.
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