# Math Help - Prove that the identity element e is the only idempotent element in a group G

1. ## Prove that the identity element e is the only idempotent element in a group G

An element x in a multiplicative group G is called idempotent if x^2 = x. Prove that the identity element e is the only idempotent element in a group G.

2. Where are you getting stuck?

3. Someone helped me with this problem already. Thank you.

4. Originally Posted by rainyice
Someone helped me with this problem already. Thank you.
How is it done?