Exercício de Prova: Ordem de Elementos de Grupos

In this video, we will solve the following exercise: Let G be a group and x, y elements of G. Show that the order of y is equal to 3 if and only if the order of the conjugate xyx^{-1} is equal to 3. Not satisfied, we will show that the order of xy is equal to 3 if and only if the order of the conjugate yx is equal to 3.