What precisely do you want to know about it?
– Kestutis CesnaviciusJan 27 '13 at 12:30

I know for $\mu_p$ and $\alpha_p$ these are trivial. Do I have more examples? Are these all trivial for commutative finite groups?
– stefanJan 27 '13 at 14:04

Sorry, I meant for commutative finite infinitesimal groups.
– stefanJan 27 '13 at 14:25

@stefan: Use the connected-etale sequence to see the triviality whenever $G$ is commutative and infinitesimal.
– user30180Jan 27 '13 at 14:34