Question

If a group G has three elements show that it is abelion.​

Answer 1

Any Group of Order 3, must therefore be isomorphic to a Subgroup of S3. Also for two groups to be isomorphic their order must be same , and among all the possible Subgroups of S3, there is only one with order 3, H3 and that Subgroup is Abelian. Therefore any Group of order 3 is always Abelian.