Let G be a group and a^2 = e, for all a ϵG . Then prove that G is an abelian group.

Let G be a group and a2 = e , for all a ϵG . Then prove that G is an abelian group. Proof: Let a, b ϵG Then a2 = e and b2 = e Since G is a group, a , b ϵ G [by associative law] Then (ab)2 = e ⇒ (ab…