Question 160
Let $(G, \cdot)$ be a group and $e$ be a neutral element. Prove that if all the $x$ elements of $G$ meet $$
x \cdot x = e
$$ then $(G, \cdot)$ is abelian (that is, commutative).
x \cdot x = e
$$ then $(G, \cdot)$ is abelian (that is, commutative).