1. Show that the automorphism groups of two isomorphic groups are isomorphic. Let G be a group and g E G be an element of finite order. Show that |g| divides Ig], where p, is the inner automorphism of G generated by g. Give an example of a group G and an element gEG for which 1 < løg] < Ig]-

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A: Hello! Thank you for the question. We'll able to solve only one question as per our honor code.

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A: NO, I don't agree with Noah. His approach is incorrect.

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A: The mean SAT score in mathematics is 486.