Question: Let C be a group and let a be an element of C. Prove that = Im thinking of proving that is a subgroup of

Let C be a group and let a be an element of C. Prove that -1>=

Im thinking of proving that -1> is a subgroup of and the reverse using the theorem that states the center of a group G or in this case C is a subgroup of group C.and manipulate equation ax=xa. Im not sure if this is the correct approach or if im making this more difficult then it is?

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