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.

- Mar 23rd 2010, 01:30 PMrainyiceProve 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.

- Mar 23rd 2010, 01:57 PMDefunkt
Where are you getting stuck?

- Mar 23rd 2010, 08:00 PMrainyice
Someone helped me with this problem already. Thank you.

- Mar 23rd 2010, 08:05 PMchiph588@