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I am learning about finitely generated groups at the moment and in the text book, they mention torsion groups, which they give the definition as: A group $G$ is a torsion group if every element of $G$ is of finite order. They then go on to state, when listing examples of torsion groups, that "Every finite group is a torsion group" I understand how cyclic groups would be a torsion group, but I am having trouble understand how a finite permutation group would be a torsion group. If anyone could help clarify why, it would be greatly appreciated. (责任编辑：) |