Reading Question 5.2.3. Let G be a group of order 5, and let a be a fixed element of G. Consider the conjugation homomorphism: G → G, x H axa-1. Which of the following claims is true? Select all that apply. (a) o is one to one. (b) o is onto. (c) The kernel of o is a trivial subgroup of G. (d) The kernel of o is a proper subgroup of G. (e) The image of o is a trivial subgroup of G. (f) The image of o is a proper subgroup of G.

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