If you kick someone out, are they alerted? On the same note, do they get a rejecting ping if you reject their applying?

You do get a rejection ping. I'm not sure about when you kick someone out

if you want i'll join your group and you kick me out so we can find out.

If you wouldn't mind, I'd appreciate that :) here

applied ~

you do: Other

You have been removed from the group Epic Win.

Ooh, alright. Thanks a bunch :D

no problem ~