Question: Let G be a group and H be a subgroup of G.Let xG be some fixed element.Prove that the set J={x^1*h *x | hH} is

Let G be a group and H be a subgroup of G.Let xG be some fixed element.Prove that the set J={x^1*h *x | hH} is another subgroup of G.

(Note that subgroup J is usually written as x^1*H*x, use J instead.This subgroup is called the conjugate of H by x.)

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